Jean Bourgain의 정보

수상나이 40
출생년도 1954
사망년도
출생지 Ostende(Belgium)
현재소속 Institute for Advanced Study(USA)
연구실적 [자세히 보기]
관련출판물 1.J Bourgain, Hamiltonian methods in nonlinear evolution equations, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 542-554.

2.L Caffarelli, The work of Jean Bourgain, Proceedings of the International Congress of Mathematicians, Zurich, 1994 1 (Basel, 1995), 3-5.

3.J Lindenstrauss, L C Evans, A Douady, A Shalev and N Pippenger, Fields Medals and Nevanlinna Prize presented at ICM-94 in Zurich, Notices Amer. Math. Soc. 41 (9) (1994), 1103-1111.

4.M?daille Fields 1994 : Jean Bourgain, Gaz. Math. No. 63 (1995), 2-15.

시상내역 Bourgain's work touches on several central topics of mathematical analysis: the geometry of Banach spaces, convexity in high dimensions, harmonic analysis, ergodic theory, and finally, nonlinear partial differential equations from mathematical physics. Bourgain has studied problems examining how large a section of a finite dimensional Banach space can look like a Hilbert subspace. nother important contribution was Bourgain's result for the circle maximal function.
Other Award Ostrowski Prize(1991)
연구단행본 [1] Bourgain, J.; Jitomirskaya, S. Anderson localization for the band model. Geometric aspects of functional analysis, 67--79, Lecture Notes in Math., 1745, Springer, Berlin, 2000. 81Q10 (39A70 47B39 47N50 82B44)
[2] Bourgain, J. Positive Lyapounov exponents for most energies. Geometric aspects of functional analysis, 37--66, Lecture Notes in Math., 1745, Springer, Berlin, 2000. 81Q10 (39A70 47B39 47N50)
[3] GAFA 2000. Visions in mathematics. Towards 2000. Proceedings of the meeting held at Tel Aviv University, Tel Aviv, August 25--September 3, 1999. Edited by N. Alon, J. Bourgain, A. Connes, M. Gromov and V. Milman. Geom. Funct. Anal. 2000, Special Volume, Part II. Birkhäuser Verlag, Basel, 2000. pp. i--viii and 455--983. 00B25
[4] GAFA 2000. Visions in mathematics. Towards 2000. Proceedings of the meeting held at Tel Aviv University, Tel Aviv, August 25--September 3, 1999. Edited by N. Alon, J. Bourgain, A. Connes, M. Gromov and V. Milman. Geom. Funct. Anal. 2000, Special Volume, Part I. Birkhäuser Verlag, Basel, 2000. pp. i--xiv and 1--453. 00B25
[5] Bourgain, Jean Periodic solutions of nonlinear wave equations. Harmonic analysis and partial differential equations (Chicago, IL, 1996), 69--97, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 1999. 35L70 (35B10)
[6] Bourgain, J. Harmonic analysis and combinatorics: how much may they contribute to each other? Mathematics: frontiers and perspectives, 13--32, Amer. Math. Soc., Providence, RI, 2000. 42B20 (05D10 28A78 30B50)
[7] Bourgain, Jean; Kalai, Gil Threshold intervals under group symmetries. Convex geometric analysis (Berkeley, CA, 1996), 59--63, Math. Sci. Res. Inst. Publ., 34, Cambridge Univ. Press, Cambridge, 1999. 05C80
[8] Bourgain, J. Global solutions of nonlinear Schrödinger equations. American Mathematical Society Colloquium Publications, 46. American Mathematical Society, Providence, RI, 1999. viii+182 pp. ISBN: 0-8218-1919-4 35Q55 (35Bxx 37K55 37L50)
[9] Bourgain, Jean On nonlinear Schrödinger equations. Les relations entre les mathématiques et la physique théorique, 11--21, Inst. Hautes Études Sci., Bures-sur-Yvette, 1998. 35Q55 (37K10 37K55)
[10] Bourgain, Jean Nonlinear Schrödinger equations. Hyperbolic equations and frequency interactions (Park City, UT, 1995), 3--157, IAS/Park City Math. Ser., 5, Amer. Math. Soc., Providence, RI, 1999. 35Q55 (37K10 37K55)
[11] Bourgain, Jean Random points in isotropic convex sets. Convex geometric analysis (Berkeley, CA, 1996), 53--58, Math. Sci. Res. Inst. Publ., 34, Cambridge Univ. Press, Cambridge, 1999. 60D05 (52A22 60F05)
[12] Bourgain, Jean; Zhang, Gaoyong On a generalization of the Busemann-Petty problem. Convex geometric analysis (Berkeley, CA, 1996), 65--76, Math. Sci. Res. Inst. Publ., 34, Cambridge Univ. Press, Cambridge, 1999. 52A40 (52A20 52A38)
[13] Bourgain, Jean Hamiltonian methods in nonlinear evolution equations. Fields Medallists' lectures, 542--554, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 35Q55 (35K99)
[14] Bourgain, Jean Gibbs measures, quasi-periodic solutions and nonlinear partial differential equations. The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994), 53--63, Proc. Sympos. Pure Math., 60, Amer. Math. Soc., Providence, RI, 1997. 35Q55 (35B99 58F27)
[15] Bourgain, Jean Analysis results and problems related to lattice points on surfaces. Harmonic analysis and nonlinear differential equations (Riverside, CA, 1995), 85--109, Contemp. Math., 208, Amer. Math. Soc., Providence, RI, 1997. 42B05 (11P21 35P20 35Q55)
[16] Bourgain, Jean Quasi-periodic solutions of Hamiltonian evolution equations. Stochastic processes and functional analysis (Riverside, CA, 1994), 17--38, Lecture Notes in Pure and Appl. Math., 186, Dekker, New York, 1997. 58F27 (34C27 34G20 35Bxx 35Q58)
[17] Bourgain, Jean Gibbs measures and quasi-periodic solutions for nonlinear Hamiltonian partial differential equations. The Gelfand Mathematical Seminars, 1993--1995, 23--43, Gelfand Math. Sem., Birkhäuser Boston, Boston, MA, 1996. 58F39 (35B10 35Q99 58F27)
[18] Bourgain, Jean Harmonic analysis and nonlinear partial differential equations. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 31--44, Birkhäuser, Basel, 1995. 35K22 (35Q53 35Q55)
[19] Bleher, P.; Bourgain, J. Distribution of the error term for the number of lattice points inside a shifted ball. Analytic number theory, Vol. 1 (Allerton Park, IL, 1995), 141--153, Progr. Math., 138, Birkhäuser Boston, Boston, MA, 1996. 11P21
[20] Bourgain, J. Estimates for cone multipliers. Geometric aspects of functional analysis (Israel, 1992--1994), 41--60, Oper. Theory Adv. Appl., 77, Birkhäuser, Basel, 1995. 42B15
[21] Bourgain, J. Remarks on Halasz-Montgomery type inequalities. Geometric aspects of functional analysis (Israel, 1992--1994), 25--39, Oper. Theory Adv. Appl., 77, Birkhäuser, Basel, 1995. 11M26
[22] Bourgain, J. A harmonic analysis approach to problems in nonlinear partial differential equations. First European Congress of Mathematics, Vol. I (Paris, 1992), 423--444, Progr. Math., 119, Birkhäuser, Basel, 1994. 35Q55
(35A25 35Q53) [23] Bourgain, Jean Some new estimates on oscillatory integrals. Essays on Fourier analysis in honor of Elias M. Stein (Princeton, NJ, 1991), 83--112, Princeton Math. Ser., 42, Princeton Univ. Press, Princeton, NJ, 1995. 42B15 (42B20 47B38)
[24] Bourgain, J. The Riesz-Raikov theorem for algebraic numbers. Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II (Ramat Aviv, 1989), 1--45, Israel Math. Conf. Proc., 3, Weizmann, Jerusalem, 1990. 11K70 (11K55 11R04)
[25] Bourgain, Jean On the restriction and multiplier problems in $R\sp 3$. Geometric aspects of functional analysis (1989--90), 179--191, Lecture Notes in Math., 1469, Springer, Berlin, 1991. 42B15 (42B25 46E30)
[26] Bourgain, J. Remarks on Montgomery's conjectures on Dirichlet sums. Geometric aspects of functional analysis (1989--90), 153--165, Lecture Notes in Math., 1469, Springer, Berlin, 1991. 11M41
[27] Bourgain, J. On the distribution of polynomials on high-dimensional convex sets. Geometric aspects of functional analysis (1989--90), 127--137, Lecture Notes in Math., 1469, Springer, Berlin, 1991. 52A21 (46B07 46E30 52A20)
[28] Bourgain, J.; Lindenstrauss, J. On covering a set in $R\sp N$ by balls of the same diameter. Geometric aspects of functional analysis (1989--90), 138--144, Lecture Notes in Math., 1469, Springer, Berlin, 1991. 52C17
[29] Bourgain, J. On arithmetic progressions in sums of sets of integers. A tribute to Paul Erdös, 105--109, Cambridge Univ. Press, Cambridge, 1990. 11B25 (11N64)
[30] Bourgain, J.; Kalton, N. J.; Tzafriri, L. Geometry of finite-dimensional subspaces and quotients of $L\sb p$. Geometric aspects of functional analysis (1987--88), 138--175, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 46B25
[31] Bourgain, J.; Tzafriri, L. Restricted invertibility of matrices and applications. Analysis at Urbana, Vol. II (Urbana, IL, 1986--1987), 61--107, London Math. Soc. Lecture Note Ser., 138, Cambridge Univ. Press, Cambridge, 1989. 47B37 (15A09 46B20 46L30)
[32] Bourgain, J.; Lindenstrauss, J.; Milman, V. Estimates related to Steiner symmetrizations. Geometric aspects of functional analysis (1987--88), 264--273, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 52A20
[33] Bourgain, J.; Pajor, A.; Szarek, S. J.; Tomczak-Jaegermann, N. On the duality problem for entropy numbers of operators. Geometric aspects of functional analysis (1987--88), 50--63, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 47B10 (46B10)
[34] Bourgain, J. Almost sure convergence in ergodic theory. Almost everywhere convergence (Columbus, OH, 1988), 145--151, Academic Press, Boston, MA, 1989. 47A35 (28D05)
[35] Bourgain, J.; Lindenstrauss, J. Almost Euclidean sections in spaces with a symmetric basis. Geometric aspects of functional analysis (1987--88), 278--288, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 46B20 (52A20)
[36] Bourgain, J. On Kolmogorov's rearrangement problem for orthogonal systems and Garsia's conjecture. Geometric aspects of functional analysis (1987--88), 209--250, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 42C20
[37] Bourgain, J. A remark on the maximal function associated to an analytic vector field. Analysis at Urbana, Vol. I (Urbana, IL, 1986--1987), 111--132, London Math. Soc. Lecture Note Ser., 137, Cambridge Univ. Press, Cambridge, 1989. 42B25
[38] Bourgain, J.; Gromov, M. Estimates of Bernstein widths of Sobolev spaces. Geometric aspects of functional analysis (1987--88), 176--185, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 41A46 (46E35)
[39] Bourgain, J. On the behavior of the constant in the Littlewood-Paley inequality. Geometric aspects of functional analysis (1987--88), 202--208, Lecture Notes in Math., 1376, Springer, Berlin, 1989. 26D15 (42A05)
[40] Bourgain, J. An approach to pointwise ergodic theorems. Geometric aspects of functional analysis (1986/87), 204--223, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 28D05 (11L40 11P55 42B25 47A35)
[41] Bourgain, J. Vector-valued Hausdorff-Young inequalities and applications. Geometric aspects of functional analysis (1986/87), 239--249, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 46E40 (43A15 46B20)
[42] Bourgain, J. On finite-dimensional homogeneous Banach spaces. Geometric aspects of functional analysis (1986/87), 232--238, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 46B20
[43] Bourgain, J.; Meyer, M.; Milman, V.; Pajor, A. On a geometric inequality. Geometric aspects of functional analysis (1986/87), 271--282, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 46B05 (46B20)
[44] Bourgain, J.; Lindenstrauss, J.; Milman, V. D. Minkowski sums and symmetrizations. Geometric aspects of functional analysis (1986/87), 44--66, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 46B20 (46E99 52A20 52A22)
[45] Bourgain, J.; Lindenstrauss, J. Projection bodies. Geometric aspects of functional analysis (1986/87), 250--270, Lecture Notes in Math., 1317, Springer, Berlin, 1988. 46B20 (52A20)
[46] Bourgain, J. On dimension free maximal inequalities for convex symmetric bodies in $R\sp n$. Geometrical aspects of functional analysis (1985/86), 168--176, Lecture Notes in Math., 1267, Springer, Berlin, 1987. 42B25 (42B15)
[47] Bourgain, J. Remarques sur les zonoïdes (projection bodies, etc.). (French) [Remarks on zonoids (projection bodies, etc.)] Séminaire d'Analyse Fonctionelle 1985/1986/1987, 171--186, Publ. Math. Univ. Paris VII, 28, Univ. Paris VII, Paris, 1988. 52A20 (52A40)
[48] Bourgain, J. Geometry of Banach spaces and harmonic analysis. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 871--878, Amer. Math. Soc., Providence, RI, 1987. 42-02 (43A46 46B20)
[49] Bourgain, J. A density condition for analyticity of the restriction algebra. Appendix to: "On the dichotomy problem for tensor algebras" [Trans. Amer. Math. Soc. 293 (1986), no. 2, 793--798; MR 86m:43005]. Geometrical aspects of functional analysis (1985/86), 151--156, Lecture Notes in Math., 1267, Springer, Berlin, 1987. 43A25 (43A46 46J99)
[50] Bourgain, J. Remarks on the extension of Lipschitz maps defined on discrete sets and uniform homeomorphisms. Geometrical aspects of functional analysis (1985/86), 157--167, Lecture Notes in Math., 1267, Springer, Berlin, 1987. 46B20 (46B25 46E30)
[51] Bourgain, J. On lattice packing of convex symmetric sets in $R\sp n$. Geometrical aspects of functional analysis (1985/86), 5--12, Lecture Notes in Math., 1267, Springer, Berlin, 1987. 52A43 (11H31 52A45)>
[52] Bourgain, J.; Tzafriri, L. Complements of subspaces of $l\sp n\sb p$, $p\geq 1$, which are uniquely determined. Geometrical aspects of functional analysis (1985/86), 39--52, Lecture Notes in Math., 1267, Springer, Berlin, 1987. 46B2
[53] Bourgain, J. Subspaces of $l\sp \infty\sb N$, arithmetical diameter and Sidon sets. Probability in Banach spaces, V (Medford, Mass., 1984), 96--127, Lecture Notes in Math., 1153, Springer, Berlin, 1985. 43A46 (46B20)
[54] Bourgain, Jean Vector-valued singular integrals and the $H\sp 1$-BMO duality. Probability theory and harmonic analysis (Cleveland, Ohio, 1983), 1--19, Monogr. Textbooks Pure Appl. Math., 98, Dekker, New York, 1986. 42B20 (46E40 47B10)
[55] Bourgain, J. Vector valued singular integrals and the $H\sp 1$-${\rm BMO}$ duality. Israel seminar on geometrical aspects of functional analysis (1983/84), XVI, 23 pp., Tel Aviv Univ., Tel Aviv, 1984. 42B20 (46E40 47B10)
[56] Bourgain, J. Some remarks on the Banach space structure of the ball-algebras. Banach spaces (Columbia, Mo., 1984), 4--10, Lecture Notes in Math., 1166, Springer, Berlin, 1985. 46E15 (32A35 46J15)
[57] Bourgain, J. Martingale transforms and geometry of Banach spaces. Israel seminar on geometrical aspects of functional analysis (1983/84), XIV, 16 pp., Tel Aviv Univ., Tel Aviv, 1984. 60G46 (46B20)
[58] Bourgain, J. New Banach space properties of certain spaces of analytic functions. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 945--951, PWN, Warsaw, 1984. 46J15 (46B25 46E15)
[59] Bourgain, J. Sur l'approximation dans $H\sp \infty$. (French) [Approximation in $H\sp \infty$] Seminar on the geometry of Banach spaces, Vol. I, II (Paris, 1983), 235--254, Publ. Math. Univ. Paris VII, 18, Univ. Paris VII, Paris, 1984. 30E10 (41A35 46J15)
[60] Bourgain, Jean Propriété de Grothendieck de $H\sp{\infty }$. (French) [Grothendieck property of $H\sp{\infty }$] Seminar on the geometry of Banach spaces (Paris, 1982), 19--27, Publ. Math. Univ. Paris VII, 16, Univ. Paris VII, Paris, 1983. 46J15
[61] Bourgain, Jean Opérateurs sommants sur l'algèbre du disque. (French) [Summing operators on the disk algebra] Seminar on the geometry of Banach spaces (Paris, 1982), 11--17, Publ. Math. Univ. Paris VII, 16, Univ. Paris VII, Paris, 1983. 47B10 (46J15 47B38)
[62] Bourgain, Jean Propriété d'Orlicz et ensembles de Sidon. (French) [The Orlicz property and Sidon sets] Harmonic analysis: study group on translation-invariant Banach spaces, Exp. No. 3, 10 pp., Publ. Math. Orsay, 84-1, Univ. Paris XI, Orsay, 1984. 43A46
[63] Bourgain, Jean Sur le minimum de certaines sommes de cosinus. (French) [On the minimum of certain cosine series] Harmonic analysis: study group on translation-invariant Banach spaces, Exp. No. 2, 7 pp., Publ. Math. Orsay, 84-1, Univ. Paris XI, Orsay, 1984. 11L03 (42A32)
[64] Bourgain, Jean Sur les sommes de sinus. (French) [Sine sums] Harmonic analysis: study group on translation-invariant Banach spaces, Exp. No. 3, 9 pp., Publ. Math. Orsay 83, 1, Univ. Paris XI, Orsay, 1983. 44A15 (42A50)
[65] Bourgain, Jean Une remarque sur les ensembles stationnaires. (French) [A remark on stationary sets] Harmonic analysis: study group on translation-invariant Banach spaces, Exp. No. 2, 6 pp., Publ. Math. Orsay 83, 1, Univ. Paris XI, Orsay, 1983. 43A46 (42A55 60G17)
[66] Bourgain, J. Nouvelles propriétés des espaces $L\sp{1}/H\sb{0}\sp{1}$ et $H\sp{\infty }$. (French) [New properties of the spaces $L\sp{1}/H\sb{0}\sp{1}$ and $H\sp{\infty }$] Seminar on Functional Analysis, 1980--1981, Exp. No. III, 13 pp., École Polytech., Palaiseau, 1981. 46B25 (46J15)
[67] Bourgain, J. A result on operators on $C[0,\,1]$. , Exp. No. 10, 18 pp., Publ. Math. Univ. Pierre et Marie Curie, 29, Univ. Paris VI, Paris, 1979. 46B25 (47B38)
[68] Bourgain, J. Unicité de certaines bases inconditionnelles. (French) [Uniqueness of some unconditional bases] Seminar on Functional Analysis, 1980--1981, Exp. No. IV, 9 pp., École Polytech., Palaiseau, 1981. 46B15
[69] Bourgain, Jean New classes of ${\cal L}\sp{p}$-spaces. Lecture Notes in Mathematics, 889. Springer-Verlag, Berlin-New York, 1981. v+143 pp. ISBN: 3-540-11156-5 46B20
[70] Bourgain, J. Dunford-Pettis operators on $L\sp{1}$ and the Radon-Nikod\'ym property. Initiation Seminar on Analysis: G. Choquet-M. Rogalski-J. Saint-Raymond, 18th Year: 1978/1979, Exp. No. 6, 17 pp., Publ. Math. Univ. Pierre et Marie Curie, 29, Univ. Paris VI, Paris, 1979. 46B22 (47B38)
[71] Bourgain, J. Walsh subspaces of $L\sp{p}$-product spaces. Seminar on Functional Analysis, 1979--1980 (French), Exp. No. 4A, 9 pp., École Polytech., Palaiseau, 1980. 46E30
[72] Bourgain, J. Une nouvelle classe d'espaces ${\cal L}\sp{1}$. (French) Seminar on Functional Analysis, 1979--1980 (French), Exp. No. 4B, 6 pp., École Polytech., Palaiseau, 1980. 46B20
[73] Guerre, S. La propriété de Banach Saks ne passe pas de $E$ à $L\sp{2}(E)$ [d'après J. Bourgain]. (French) Seminar on Functional Analysis, 1979--1980 (French), Exp. No. 8, 9 pp., École Polytech., Palaiseau, 1980. 46E40 (46B15)
[74] Bourgain, J. Complémentation de sous-espaces $L\sp{1}$ dans les espaces $L\sp{1}$. (French) Seminar on Functional Analysis, 1979--1980 (French), Exp. No. 27, 7 pp., École Polytech., Palaiseau, 1980. 46E30 (46B25)
[75] Bourgain, J. Un espace non Radon-Nikod\'ym sans arbre diadique. (French) Séminaire d'Analyse Fonctionnelle (1978--1979), Exp. No. 29, 6 pp., École Polytech., Palaiseau, 1979. 46B22
[76] Bourgain, J. Un espace ${\cal L}\sp{\infty }$ jouissant de la propriété de Schur et de la propriété de Radon-Nikod\'ym. (French) Séminaire d'Analyse Fonctionnelle (1978--1979), Exp. No. 4, 7 pp., École Polytech., Palaiseau, 1979. 46B20 (46B22)
[77] Bourgain, Jean A stabilization property and its applications in the theory of sections. Séminaire Choquet, 17e année (1977/78), Initiation à l'analyse, Fasc. 1, Exp. No. 5, 23 pp., Secrétariat Math., Paris, 1978. 04A15 (28A05 54H05)
[78] Bourgain, Jean $\Lambda p$-sets in analysis: results, problems and related aspects. Handbook of the geometry of Banach spaces, Vol. I, 195--232, North-Holland, Amsterdam, 2001. 43A46 (42B25 46N99)
[79] Caffarelli, Luis The work of Jean Bourgain [see MR 97c:00049]. Fields Medallists' lectures, 537--539, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70
[80] Caffarelli, Luis The work of Jean Bourgain. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 3--5, Birkhäuser, Basel, 1995. 01A70 (01A60)
[81] Bourgain, Jean Time evolution in Gibbs measures for the nonlinear Schrödinger equations. XIth International Congress of Mathematical Physics (Paris, 1994), 543--547, Internat. Press, Cambridge, MA, 1995. 35Q55 (81Q05)
[82] Bourgain, J. Convex sets and maximal operators. Texas functional analysis seminar 1984--1985 (Austin, Tex.), 131--139, Longhorn Notes, Univ. Texas Press, Austin, TX, 1985. 42B25
[83] Bourgain, J. On the dichotomy problem in harmonic analysis. Texas functional analysis seminar 1984--1985 (Austin, Tex.), 125--129, Longhorn Notes, Univ. Texas Press, Austin, TX, 1985. 43A46 (43A25)
[84] Bourgain, J. On nonisomorphisms of algebras of analytic functions. Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics (Leipzig, 1983), 145--154, Teubner-Texte Math., 67, Teubner, Leipzig, 1984. 46J15 (32E25)
연구논문
  • Bourgain, Jean;Goldstein, Michael;Schlag, Wilhelm   Anderson localization for Schr?dinger operators on $Bbb Z$ with potentials given by the skew-shift   Comm. Math. Phys.   220   3   (2001)   583-621   82Bxx
  • Bourgain, J.;Goldstein, M.   On nonperturbative localization with quasi-periodic potential   Ann. of Math. (2)   152   3   (2000)   835-879   39A70, 35J05, 47N20, 82B05
  • Bourgain, J.   H?lder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime   Lett. Math. Phys.   51   2   (2000)   83-118   47B39, 47N50, 82B44
  • Bourgain, J.;Kostyukovsky, S.;Olevskiui, A.   A remark on a maximal operator for Fourier multipliers   Real Anal. Exchange   26   2   (2000-2001)   901-904   42A05, 42A45
  • Bourgain, Jean;Schlag, Wilhelm   Anderson localization for Schr?dinger operators on $Z$ with strongly mixing potentials   Comm. Math. Phys.   215   1   (2000)   143-175   81Q10, 39A70, 47B39, 47N50, 82B44
  • Bourgain, J.   Problems in Hamiltonian PDE's   Geom. Funct. Anal.   Special Volume   Part I   (2000)   32-56   35F20, 35B30, 35B40, 35Q55
  • Bourgain, J.   On growth of Sobolev norms in linear Schr?dinger equations with smooth time dependent potential   J. Anal. Math.   77     (1999)   315-348   35J10, 35B10, 35K40, 47N20
  • Berkson, Earl;Bourgain, Jean;Pel czynski, Aleksander;Wojciechowski, Michal   Canonical Sobolev projections of weak type $(1,1)$   Mem. Amer. Math. Soc.   150   714   (2001)   1-75   47B38, 42B15, 46E35, 47F05
  • Bourgain, Jean;Brezis, Ha?m;Mironescu, Petru   On the structure of the Sobolev space $Hsp {1/2}$ with values into the circle   C. R. Acad. Sci. Paris S?r. I Math.   331   2   (2000)   119-124   46E35, 35Q60
  • Bourgain, J.   On diffusion in high-dimensional Hamiltonian systems and PDE   J. Anal. Math.   80     (2000)   1-35   35K55, 35B45, 35B65, 35Q55
  • Bourgain, J.   Invariant measures for NLS in infinite volume   Comm. Math. Phys.   210   3   (2000)   605-620   37K05, 35Q55, 82C05
  • Bourgain, Jean;Brezis, Ha?m;Mironescu, Petru   Lifting in Sobolev spaces   J. Anal. Math.   80     (2000)   37-86   46E35, 35J20, 58D15, 58E20
  • Bourgain, J.   On triples in arithmetic progression   Geom. Funct. Anal.   9   5   (1999)   968-984   11P55, 11B25, 11N64
  • Bourgain, Jean   On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann zeta function   Internat. Math. Res. Notices     3   (2000)   133-146   11M26
  • Bourgain, J.   Periodic Korteweg de Vries equation with measures as initial data   Selecta Math. (N. S.)   3   2   (1997)   115-159   35Q53, 34A55, 34L05, 35B10, 35R05
  • Bourgain, J.   Growth of Sobolev norms in linear Schr?dinger equations with quasi-periodic potential   Comm. Math. Phys.   204   1   (1999)   207-247   35K10, 35B45, 35J10, 47D05, 47N20
  • Bourgain, J.   On the dimension of Kakeya sets and related maximal inequalities   Geom. Funct. Anal.   9   2   (1999)   256-282   42B25, 11B75
  • Bourgain, J.   Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schr?dinger equations   Ann. of Math. (2)   148   2   (1998)   363-439   37K55, 35B15, 35J10, 35Qxx, 37J40
  • Bourgain, Jean;Wang, W.   Construction of blowup solutions for the nonlinear Schr?dinger equation with critical nonlinearity   Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)   25   1-2   (1997)   197-215   35Q55, 35B99, 35C99
  • Bourgain, J.   Scattering in the energy space and below for 3D NLS   J. Anal. Math.   75     (1998)   267-297   35P25, 35J10, 35Q55
  • Bourgain, J.   Refinements of Strichartz' inequality and applications to $2$D-NLS with critical nonlinearity   Internat. Math. Res. Notices     5   (1998)   253-283   35Q55
  • Bourgain, J.   Global wellposedness of defocusing critical nonlinear Schr?dinger equation in the radial case   J. Amer. Math. Soc.   12   1   (1999)   145-171   35Q55
  • Bourgain, Jean;Golse, Fran?ois; Wennberg, Bernt   On the distribution of free path lengths for the periodic Lorentz gas   Comm. Math. Phys.   190   3   (1998)   491-508   82C40, 58F40
  • Bourgain, J.   On growth in time of Sobolev norms of smooth solutions of nonlinear Schr?dinger equations in $Rsp D$   J. Anal. Math.   72     (1997)   299-310   35Q55, 35B05
  • Bourgain, J.;Kalai, G.   Influences of variables and threshold intervals under group symmetries   Geom. Funct. Anal.   7   3   (1997)   438-461   20B35, 05C80, 20B15
  • Bourgain, J.   On Melnikov's persistency problem   Math. Res. Lett.   4   4   (1997)   445-458   58F27, 34C27, 58F05, 70H15
  • Bourgain, J.   Invariant measures for the Gross-Piatevskii equation   J. Math. Pures Appl. (9)   76   8   (1997)   649-702   58F11, 35Q55, 58F39
  • Bourgain, Jean   On the compactness of the support of solutions of dispersive equations   Internat. Math. Res. Notices     9   (1997)   437-447   35Q53
  • Bourgain, Jean   Estimates related to sumfree subsets of sets of integers   Israel J. Math.   97     (1997)   71-92   11B75, 11J70, 11L07, 42A05
  • Bourgain, Jean   On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE   Internat. Math. Res. Notices     6   (1996)   277-304   35B40, 34G20, 35Q55, 58F39
  • Bourgain, J.;Colliander, J.   On wellposedness of the Zakharov system   Internat. Math. Res. Notices     11   (1996)   515-546   35Q55
  • Bourgain, J.   Construction of approximative and almost periodic solutions of perturbed linear Schr?dinger and wave equations   Geom. Funct. Anal.   6   2   (1996)   201-230   35B15, 35A35, 35L70, 35Q55
  • Bourgain, Jean   Spherical summation and uniqueness of multiple trigonometric series   Internat. Math. Res. Notices     3   (1996)   93-107   42B08, 42B05
  • Bourgain, Jean   Invariant measures for the $2$D-defocusing nonlinear Schr?dinger equation   Comm. Math. Phys.   176   2   (1996)   421-445   35Q55, 82B10
  • Bourgain, Jean   On the Cauchy problem for periodic KdV-type equations   J. Fourier Anal. Appl.     Special Is   (1995)   17-86   35Q53, 35B10
  • Bourgain, J.   Construction of periodic solutions of nonlinear wave equations in higher dimension   Geom. Funct. Anal.   5   4   (1995)   629-639   35B10, 11J99, 35L70
  • Bourgain, Jean   Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE   Internat. Math. Res. Notices     11   (1994)   1-21   58G18, 34G20, 35B99, 35Q58, 58F27, 58F39
  • Bourgain, J.   Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations   Geom. Funct. Anal.   5   2   (1995)   105-140   35Q55, 35B40, 35L70
  • Aleksandrov, A.;Bourgain, J.;Giesecke, M.;Havin, V.;Vymenets, Yu.   Uniqueness and free interpolation for logarithmic potentials and the Cauchy problem for the Laplace equation in $Rsp 2$   Geom. Funct. Anal.   5   3   (1995)   529-571   31B20, 31B15, 35J05
  • Bourgain, J.   Periodic nonlinear Schr?dinger equation and invariant measures   Comm. Math. Phys.   166   1   (1994)   1-26   35Q55, 35B10, 35Q53
  • Burgeui n, Zh.   Boundedness of variation of convolution of measures   Math. Notes   54   3-4   (1993)   995-1001   30D50, 26A24, 31A05, 42A99
  • Bourgain, Jean   On the Cauchy and invariant measure problem for the periodic Zakharov system   Duke Math. J.   76   1   (1994)   175-202   35Q55, 58F11, 58F39, 82B05
  • Bourgain, Jean   Hausdorff dimension and distance sets   Israel J. Math.   87   1-3   (1994)   193-201   28A78
  • Bergelson, V.;Boshernitzan, M.;Bourgain, J.   Some results on nonlinear recurrence   J. Anal. Math.   62     (1994)   29-46   28D10, 47A35
  • Bourgain, Jean   Approximation of solutions of the cubic nonlinear Schr?dinger equations by finite-dimensional equations and nonsqueezing properties   Internat. Math. Res. Notices     2   (1994)   79-88   35Q55
  • Bourgain, J.   Convergence of ergodic averages on lattice random walks   Illinois J. Math.   37   4   (1993)   624-636   28D15, 42A45, 42A61, 60F05, 60J15
  • Bourgain, J.   Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II. The KdV-equation   Geom. Funct. Anal.   3   3   (1993)   209-262   35Q55
  • Bourgain, J.   Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schr?dinger equations   Geom. Funct. Anal.   3   2   (1993)   107-156   35Q55, 11L07, 35B10
  • Bourgain, J.   Exponential sums and nonlinear Schr?dinger equations   Geom. Funct. Anal.   3   2   (1993)   157-178   35Q55, 11L07, 35B10
  • Bourgain, J.   On the distribution of Dirichlet sums   J. Anal. Math.   60     (1993)   21-32   11M99, 28A75
  • Asmar, Nakhl?;Berkson, Earl;Bourgain, Jean   Restrictions from $bold Rsp n$ to $bold Zsp n$ of weak type $(1,1)$ multipliers   Studia Math.   108   3   (1994)   291-299   42B15, 42B25
  • Bourgain, Jean   A remark on the behaviour of $Lsp p$-multipliers and the range of operators acting on $Lsp p$-spaces   Israel J. Math.   79   2-3   (1992)   193-206   46E30, 43A15, 46B07
  • Bourgain, J.   On the spectral type of Ornstein's class one transformations   Israel J. Math.   84   1-2   (1993)   53-63   28D05, 42A05
  • Bourgain, Jean;Kahn, Jeff;Kalai, Gil;Katznelson, Yitzhak;Linial, Nathan   The influence of variables in product spaces   Israel J. Math.   77   1-2   (1992)   55-64   05D05, 05A20, 28A35, 60B15, 60F15
  • Bourgain, J.   Eigenfunction bounds for the Laplacian on the $n$-torus   Internat. Math. Res. Notices     3   (1993)   61-66   58G25, 35P15, 58G15
  • Bourgain, J.   On the Cauchy problem for the Kadomtsev-Petviashvili equation   Geom. Funct. Anal.   3   4   (1993)   315-341   35Q53, 42B05
  • Bourgain, J.   On the radial variation of bounded analytic functions on the disc   Duke Math. J.   69   3   (1993)   671-682   30D50
  • Bourgain, Jean;Lindenstrauss, Joram   Approximating the ball by a Minkowski sum of segments with equal length   Discrete Comput. Geom.   9   2   (1993)   131-144   52A21, 46B20
  • Bourgain, J.   Some consequences of Pisier's approach to interpolation   Israel J. Math.   77   1-2   (1992)   165-185   46M35, 46E15, 47B10
  • Bourgain, J.   A remark on Schr?dinger operators   Israel J. Math.   77   1-2   (1992)   1-16   35J10
  • Bourgain, J.   $Lsp p$-estimates for oscillatory integrals in several variables   Geom. Funct. Anal.   1   4   (1991)   321-374   42B10, 42B20, 47G10
  • Berkson, Earl;Bourgain, Jean;Gillespie, T. A.   On the almost everywhere convergence of ergodic averages for power-bounded operators on $Lsp p$-subspaces   Integral Equations Operator Theory   14   5   (1991)   678-715   47A35, 47B38
  • Bourgain, J.;Tzafriri, L.   On a problem of Kadison and Singer   J. Reine Angew. Math.   420     (1991)   1-43   46L05, 46L30, 47B35, 47D25
  • Bourgain, J.;Tzafriri, L.   Embedding $lsp ksb p$ in subspaces of $Lsb p$ for $p>2$   Israel J. Math.   72   3   (1990)   321-340   46B20, 46B25, 46E30
  • Bourgain, J.   Besicovitch type maximal operators and applications to Fourier analysis   Geom. Funct. Anal.   1   2   (1991)   147-187   42B25, 42B08, 42B10
  • Bourgain, J.   On the Busemann-Petty problem for perturbations of the ball   Geom. Funct. Anal.   1   1   (1991)   1-13   52A38
  • Bourgain, J.;Wolff, T.   A remark on gradients of harmonic functions in dimension $geq 3$   Colloq. Math.   60-61   1   (1990)   253-260   31B20, 35J67
  • Bourgain, J.   Problems of almost everywhere convergence related to harmonic analysis and number theory   Israel J. Math.   71   1   (1990)   97-127   42A20, 11K70, 42A61
  • Bourgain, J.   Homogeneous polynomials on the ball and polynomial bases   Israel J. Math.   68   3   (1989)   327-347   46E50, 32A37, 46J15
  • Bourgain, J.   On $Lambda(p)$-subsets of squares   Israel J. Math.   67   3   (1989)   291-311   43A46, 11K31
  • Bourgain, J.   Double recurrence and almost sure convergence   J. Reine Angew. Math.   404     (1990)   140-161   28D05, 11K99, 47A35
  • Bourgain, Jean   Pointwise ergodic theorems for arithmetic sets   Inst. Hautes ?tudes Sci. Publ. Math.     69   (1989)   5-45   28D05, 11B83, 11K99, 11L03, 47A35
  • Bourgain, J.   Bounded orthogonal systems and the $Lambda(p)$-set problem   Acta Math.   162   3-4   (1989)   227-245   43A46
  • Bourgain, J.;Lindenstrauss, J.   Distribution of points on spheres and approximation by zonotopes   Israel J. Math.   64   1   (1988)   25-31   46B20, 52A25, 52A45
  • Bourgain, J.;Lindenstrauss, J.;Milman, V.   Approximation of zonoids by zonotopes   Acta Math.   162   1-2   (1989)   73-141   46B20, 52A25, 52A45
  • Bourgain, J.   Almost sure convergence and bounded entropy   Israel J. Math.   63   1   (1988)   79-97   60G15, 28D99, 47A35, 47B38, 94A17
  • Bourgain, J.   A nonlinear version of Roth's theorem for sets of positive density in the real line   J. Analyse Math.   50     (1988)   169-181   11B05, 28A99, 42A38
  • Bourgain, J.;Szarek, S. J.   he Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization   Israel J. Math.   62   2   (1988)   169-180   46B20, 52A20
  • Bourgain, J.   A remark on the uncertainty principle for Hilbertian basis   J. Funct. Anal.   79   1   (1988)   136-143   81B99, 46N05, 81C20
  • Bourgain, J.   On the pointwise ergodic theorem on $Lsp p$ for arithmetic sets   Israel J. Math.   61   1   (1988)   73-84   28D05
  • Bourgain, J.   On the maximal ergodic theorem for certain subsets of the integers   Israel J. Math.   61   1   (1988)   39-72   28D05
  • Bourgain, Jean;Lindenstrauss, Joram   New results on zonoids and projection bodies   C. R. Acad. Sci. Paris S?r. I Math.   306   8   (1988)   377-380   52A20
  • Bourgain, Jean   Return times for dynamical systems   C. R. Acad. Sci. Paris S?r. I Math.   306   12   (1988)   483-485   28D05
  • Bourgain, J.   Ruzsa's problem on sets of recurrence   Israel J. Math.   59   2   (1987)   150-166   11B75, 11B83, 11K31
  • Bourgain, Jean   On pointwise ergodic theorems for arithmetic sets   C. R. Acad. Sci. Paris S?r. I Math.   305   10   (1987)   397-402   28D05, 11L15, 11L40, 82A99
  • Bourgain, J.;Tzafriri, L.   "Invertibility of ""large"" submatrices with applications to the geometry of Banach spaces and harmonic analysis"   Israel J. Math.   57   2   (1987)   137-224   46B20, 15A60, 43A46, 47A99, 47B38
  • Bourgain, J.   On the similarity problem for polynomially bounded operators on Hilbert space   Israel J. Math.   54   2   (1986)   227-241   47A65
  • Bourgain, J.;Milman, V.;Wolfson, H.   On type of metric spaces   Trans. Amer. Math. Soc.   294   1   (1986)   295-317   46B99, 46G99, 54E35, 58C99
  • Bourgain, J.   On high-dimensional maximal functions associated to convex bodies   Amer. J. Math.   108   6   (1986)   1467-1476   42B25, 52A40
  • Bourgain, J.;Milman, V. D.   New volume ratio properties for convex symmetric bodies in $Rsp n$   Invent. Math.   88   2   (1987)   319-340   52A40, 52A20
  • Bourgain, J.   Averages in the plane over convex curves and maximal operators   J. Analyse Math.   47     (1986)   69-85   42B25, 52A10
  • Bourgain, J.;Sato, H.   A direct proof of van der Vaart's theorem   Studia Math.   84   2   (1986)   125-131   42B10, 60E10
  • Bourgain, Jean;Reinov, Oleg   On the approximation properties for the space $Hsp infty$   Math. Nachr.   122     (1985)   19-27   46E15, 46J15
  • Bourgain, J.   The metrical interpretation of superreflexivity in Banach spaces   Israel J. Math.   56   2   (1986)   222-230   46B10, 46B20
  • Bourgain, J.;Davis, W. J.   Martingale transforms and complex uniform convexity   Trans. Amer. Math. Soc.   294   2   (1986)   501-515   46E40, 42B20, 46B99, 60G46
  • Bourgain, J.   On the Hausdorff dimension of harmonic measure in higher dimension   Invent. Math.   87   3   (1987)   477-483   31A15
  • Bourgain, Jean;Lindenstrauss, Joram;Milman, Vitali   Approximation of zonoids by zonotopes   C. R. Acad. Sci. Paris S?r. I Math.   303   20   (1986)   987-988   46E30, 46B20
  • Bourgain, J.;Figiel, T.;Milman, V.   On Hilbertian subsets of finite metric spaces   Israel J. Math.   55   2   (1986)   147-152   46C05, 46B20, 54E35
  • Bourgain, J.   On square functions on the trigonometric system   Bull. Soc. Math. Belg. S?r. B   37   1   (1985)   20-26   42A50, 42A45
  • Bourgain, Jean   On finitely generated closed ideals in $Hsp infty(D)$   Ann. Inst. Fourier (Grenoble)   35   4   (1985)   163-174   46J15, 30H05, 46J20
  • Bourgain, J.   On the $Lsp p$-bounds for maximal functions associated to convex bodies in $Rsp n$   Israel J. Math.   54   3   (1986)   257-265   42B25
  • Bourgain, J.   A Szemer?di type theorem for sets of positive density in $Rsp k$   Israel J. Math.   54   3   (1986)   307-316   11b05, 28D05
  • Bourgain, Jean   Translation invariant forms on $Lsp p(G) (1   Ann. Inst. Fourier (Grenoble)   36   1   (1986)   97-104   43A15, 46E30
  • Bourgain, J.;Milman, V. D.   Distances between normed spaces, their subspaces and quotient spaces   Integral Equations Operator Theory   9   1   (1986)   31-46   46B20, 46B25
  • Bourgain, J.   On the minimum of a sum of cosines   Acta Arith.   45   4   (1986)   381-389   11L03, 42A05
  • Bourgain, J.   Some results on the bidisc algebra. Colloquium in honor of Laurent Schwartz, Vol. 1   Asterisque     131   (1985)   279-298   46J15, 32E25
  • Bourgain, J.   A problem of Douglas and Rudin on factorization   Pacific J. Math.   121   1   (1986)   47-50   30D55, 42A50, 46J15
  • Bourgain, J.   On Lipschitz embedding of finite metric spaces in Hilbert space   Israel J. Math.   52   1-2   (1985)   46-52   46B99, 05C80, 58B05
  • Bourgain, J.   Real isomorphic complex Banach spaces need not be complex isomorphic   Proc. Amer. Math. Soc.   96   2   (1986)   221-226   46B20
  • Bourgain, J.   $lsp{1}$ sequences generated by Sidon sets   J. London Math. Soc. (2)   29   2   (1984)   283-288   43A46
  • Bourgain, Jean   Estimates of some maximal operators   C. R. Acad. Sci. Paris S?r. I Math.   301   10   (1985)   499-502   42B25
  • Bourgain, J.   On the dichotomy problem for tensor algebras   Trans. Amer. Math. Soc.   293   2   (1986)   793-798   43A25, 42A16, 43A46
  • Bourgain, J.   On martingales transforms in finite-dimensional lattices with an appendix on the $K$-convexity constant   Math. Nachr.   119     (1984)   41-53   47B37, 44A15, 46B20, 60G46
  • Bourgain, J.   The dimension conjecture for polydisc algebras   Israel J. Math.   48   4   (1984)   289-304   46J15, 30H05, 32A35
  • Bourgain, Jean;Milman, Vitali D.   Euclidean sections and volume of symmetric convex bodies in ${bf R}sp n$   C. R. Acad. Sci. Paris S?r. I Math.   300   13   (1985)   435-438   52A40, 46B99, 52A20
  • Bourgain, J.   Applications of the spaces of homogeneous polynomials to some problems on the ball algebra   Proc. Amer. Math. Soc.   93   2   (1985)   277-283   46E15, 32A35, 46J15, 47B38
  • Bourgain, J.;Casazza, P. G.;Lindenstrauss, J.;Tzafriri, L.   Banach spaces with a unique unconditional basis, up to permutation   Mem. Amer. Math. Soc.   54   322   (1985)   1-111   46B15
  • Bourgain, Jean;Milman, Vitali   Dichotomy of cotype for invariant spaces   C. R. Acad. Sci. Paris S?r. I Math.   300   9   (1985)   263-266   43A46, 46B99
  • Argyros, S.;Bourgain, J.;Zachariades, T.   A result on the isomorphic embeddability of $lsp 1(Gamma)$   Studia Math.   78   1   (1984)   77-91   46B20
  • Bourgain, Jean   Sidon sets and Riesz products   Ann. Inst. Fourier (Grenoble)   35   1   (1985)   137-148   43A46, 42A55
  • Bourgain, J.   Decomposition properties for Sidon sets   Bull. Soc. Math. France   111   4   (1983)   421-428   43A46, 42A55
  • Bourgain, Jean;Diestel, Joe   Limited operators and strict cosingularity   Math. Nachr.   119     (1984)   55-58   47B05, 46B05, 47A99, 47D30
  • Bourgain, J.   The nonisomorphism of $Hsp{1}$-spaces in a different number of variables   Bull. Soc. Math. Belg. S?r. B   35   2   (1983)   127-136   46E15, 46J15
  • Bourgain, J.   Some properties of sets satisfying $A(E)=Bsb 0(E)$   Bull. Soc. Math. Belg. S?r. B   36     (1984)   171-191   43A46
  • Bourgain, J.   Bilinear forms on $Hsp{infty }$ and bounded bianalytic functions   Trans. Amer. Math. Soc.   286   1   (1984)   313-337   46J15, 46E15, 47B10
  • Bourgain, Jean;Pisier, Gilles   A construction of ${scr L}sb{infty }$-spaces and related Banach spaces   Bol. Soc. Brasil. Mat.   14   2   (1983)   109-123   46B20, 46B22
  • Bourgain, J.   Extension of a result of Benedek, Calder?n and Panzone   Ark. Mat.   22   1   (1984)   91-95   47B38, 42B20, 46E40
  • Bourgain, J.   On bases in the disc algebra   Trans. Amer. Math. Soc.   285   1   (1984)   133-139   46J15, 46B15, 46E15
  • Bourgain, J.   $Hsp{infty }$ is a Grothendieck space   Studia Math.   75   2   (1983)   193-216   46J15, 30D55, 46B20, 46E15
  • Bourgain, J.   New Banach space properties of the disc algebra and $Hsp{infty }$   Acta Math.   152   1-2   (1984)   1-48   46J15, 30D55, 46B20, 46E15
  • Bourgain, J.   Embedding $Lsp{1}$ in $Lsp{1}/Hsp{1}$   Trans. Amer. Math. Soc.   278   2   (1983)   689-702   46E30, 42A99, 46B25, 60G46
  • Bourgain, J.;Rosenthal, H. P.   Applications of the theory of semi-embeddings to Banach space theory   J. Funct. Anal.   52   2   (1983)   149-188   46B20
  • Bourgain, J.   The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces   Studia Math.   77   3   (1984)   245-253   46B99, 46E15, 46J15
  • Bourgain, J.   On the primarity of $Hsp{infty }$-spaces   Israel J. Math.   45   4   (1983)   329-336   46J15, 30H05, 46B20
  • Bourgain, J.   Some remarks on Banach spaces in which martingale difference sequences are unconditional   Ark. Mat.   21   2   (1983)   163-168   46B20, 60B11, 60G42
  • Bourgain, J.   On weak completeness of the dual of spaces of analytic and smooth functions   Bull. Soc. Math. Belg. S?r. B   35   1   (1983)   111-118   46E15, 46J15
  • Bourgain, J.   A theorem on interpolating sequences in the disc   Simon Stevin   57   1-2   (1983)   145-155   30E05, 46J15
  • Bourgain, J.   The nonisomorphism of $Hsp{1}$-spaces in one and several variables   J. Funct. Anal.   46   1   (1982)   45-57   46J15, 30H05, 32A35
  • Bourgain, J.   Translation invariant complemented subspaces of $Lsp{p}$   Studia Math.   75   1   (1982)   95-101   43A15
  • Bourgain, J.   On convergent sequences of continuous functions   Bull. Soc. Math. Belg. S?r. B   32   2   (1980)   235-249   46E15, 46B20, 54C30
  • Bourgain, J.   On the embedding problem of $Lsp{1}$ in $Lsp{1}/Hsp{1}sb{0}$   Bull. Soc. Math. Belg. S?r. B   34   2   (1982)   187-194   46E99, 46B25
  • Bourgain, J.;Rosenthal, H. P.   Geometrical implications of certain finite-dimensional decompositions   Bull. Soc. Math. Belg. S?r. B   32   1   (1980)   57-82   46B22
  • Bourgain, J.   A Hausdorff-Young inequality for $B$-convex Banach spaces   Pacific J. Math.   101   2   (1982)   255-262   46B20, 43A30
  • Bourgain, Jean   On interpolation sets for discrete measures   C. R. Acad. Sci. Paris S?r. I Math.   296   3   (1983)   149-151   43A46
  • Bourgain, J.   On trigonometric sums with prime frequencies   Bull. Soc. Math. Belg. S?r. B   33   2   (1981)   289-294   10G05, 10H15, 42A45
  • Bourgain, Jean   Some linear properties of the space of uniformly convergent Fourier series   C. R. Acad. Sci. Paris S?r. I Math.   295   11   (1982)   623-625   46E99, 42A99
  • Bourgain, J.   A remark on finite-dimensional $Psb{lambda }$-spaces   Studia Math.   72   3   (1982)   285-289   46B20
  • Bourgain, J.   Remarks on the double dual of a Banach space   Bull. Soc. Math. Belg. S?r. B   32   2   (1980)   171-178   46B20
  • Bourgain, J.   On lacunary sets   Bull. Soc. Math. Belg. S?r. B   32   1   (1980)   29-32   05A99
  • Bourgain, J.;Rosenthal, H. P.;Schechtman, G.   An ordinal $Lsp{p}$-index for Banach spaces, with application to complemented subspaces of $Lsp{p}$   Ann. of Math. (2)   114   2   (1981)   193-228   46B25, 46E30
  • Bourgain, J.   The Szlenk index and operators on $C(K)$-spaces   Bull. Soc. Math. Belg. S?r. B   31   1   (1979)   87-117   46B20, 46E99, 47B38
  • Bourgain, J.   A stabilization property and its applications in the theory of sections   Fund. Math.   112   1   (1981)   25-44   27-8A05, 04A15, 54H05
  • Bourgain, Jean   Imbedding of $Lsp{1}$ in $Lsp{1}/Hsp{1}$   C. R. Acad. Sci. Paris S?r. I Math.   294   18   (1982)   633-636   60G46, 46E15
  • Bourgain, J.   On the Dunford-Pettis property   Proc. Amer. Math. Soc.   81   2   (1981)   265-272   46E40, 28B99, 46B20
  • Bourgain, Jean   Summing operators on the disk algebra   C. R. Acad. Sci. Paris S?r. I Math.   293   15   (1981)   677-680   47B37, 46J15, 47B10
  • Bourgain, Jean   On the isomorphisms between $Hsp{1}$-spaces   C. R. Acad. Sci. Paris S?r. A-B   291   2   (1980)   A111-A112   46E15, 46J15
  • Bourgain, Jean   Noncompleteness of some convergence on $lsp{1}$   Colloq. Math.   44   1   (1981)   175-178   46A45, 46B99
  • Bourgain, J.   A counterexample to a complementation problem   Compositio Math.   43   1   (1981)   133-144   46B25, 46E30
  • Bourgain, J.   A characterization of non-Dunford-Pettis operators on $Lsp{1}$   Israel J. Math.   37   1-2   (1980)   48-53   47B38, 46E22, 47B05, 60G48
  • Bourgain, J.   Dunford-Pettis operators on $Lsp{1}$ and the Radon-Nikod'ym property   Israel J. Math.   37   1-2   (1980)   34-47   47B38, 46B32, 47B05, 60G48
  • Bourgain, Jean   Projections in $Hsp{infty }$ and the Grothendieck property   C. R. Acad. Sci. Paris S?r. I Math.   293   1   (1981)   47-49   47B05, 46J15
  • Bourgain, J.   On trigonometric series in super reflexive spaces   J. London Math. Soc. (2)   24   1   (1981)   165-174   46B20, 42C99
  • Bourgain, J.;Delbaen, F.   A class of special ${cal L}sb{infty }$ spaces   Acta Math.   145   3-4   (1980)   155-176   46B20
  • Bourgain, J.;Rosenthal, H. P.   Martingales valued in certain subspaces of $Lsp{1}$   Israel J. Math.   37   1-2   (1980)   54-75   46B22, 60G44
  • Bourgain, J.   A new class of ${cal L}sp{1}$-spaces   Israel J. Math.   39   1-2   (1981)   113-126   46B22
  • Bourgain, Jean   Normes absolument sommantes et sous-espaces $lsp{infty }$   C. R. Acad. Sci. Paris S?r. I Math.   292   15   (1981)   719-721   47D30, 46B20
  • Bourgain, J.   A nondentable set without the tree property   Studia Math.   68   2   (1980)   131-139   46B20
  • Bourgain, Jean;Talagrand, Michel   Dans un espace de Banach reticul? solide, la propri?t? de Radon-Nikod'ym et celle de Kreu i n-Milcprime man sont ?quivalentes   Proc. Amer. Math. Soc.   81   1   (1981)   93-96   46B22, 46B30
  • Bourgain, J.   A result on operators on $scr C[0,1]$   J. Operator Theory   3   2   (1980)   275-289   46B25, 47B38
  • Bourgain, Jean   Propri?t?s de rel?vement et projections dans les espaces $Lsp{1}/Hsp{1}sb{0}$ et $Hsp{infty }$   C. R. Acad. Sci. Paris S?r. A-B   291   11   (1980)   A607-A609   46E15, 46J15
  • Bourgain, J.   Dentability and finite-dimensional decompositions   Studia Math.   67   2   (1980)   135-148   46B22
  • Bourgain, J.   Borel sets with $Fsb{sigma delta }$-sections   Fund. Math.   107   2   (1980)   149-159   54H05
  • Bourgain, J.   $Fsb{sigma delta }$-sections of Borel sets   Fund. Math.   107   2   (1980)   129-133   54H05
  • Bourgain, J.   A note on the Lebesgue spaces of vector-valued functions   Bull. Soc. Math. Belg. S?r. B   31   1   (1979)   45-47   46E30
  • Bourgain, Jean   Espaces $Lsp{1}$ ne v?rifiant pas la propri?t? de Radon-Nikod'ym   C. R. Acad. Sci. Paris S?r. A-B   291   5   (1980)   A343-A345   46B22
  • Bourgain, Jean   Sous-espaces $Lsp{p}$ invariants par translations sur le groupe de Cantor   C. R. Acad. Sci. Paris S?r. A-B   291   1   (1980)   A39-A40   46E30, 42C10
  • Bourgain, J.   An averaging result for $lsp{1}$-sequences and applications to weakly conditionally compact sets in $Lsp{1}sb{X}$   Israel J. Math.   32   4   (1979)   289-298   46B20, 28B05
  • Bourgain, J.;Delbaen, F.   Quotient maps onto $c(K)$   Bull. Soc. Math. Belg.   30   2   (1978)   111-119   46E15, 46B25
  • Bourgain, J.   Sets with the Radon-Nikod'ym property in conjugate Banach space   Studia Math.   66   3   (1979-1980)   291-297   46B22, 46B05
  • Bourgain, Jean;Talagrand, Michel   Compacit? extr?male   Proc. Amer. Math. Soc.   80   1   (1980)   68-70   46B10, 46A50
  • Bourgain, J.   On the representation of two-dimensional unconditional and symmetric norms   Bull. Soc. Math. Belg.   30   2   (1978)   121-133   46A55
  • Bourgain, J.   On separable Banach spaces, universal for all separable reflexive spaces   Proc. Amer. Math. Soc.   79   2   (1980)   241-246   46B20
  • Bourgain, J.   A note on extreme points in duals   Bull. Soc. Math. Belg.   30   1   (1978)   89-91   46A55
  • Bourgain, J.   An averaging result for $csb{0}$-sequences   Bull. Soc. Math. Belg.   30   1   (1978)   83-87   46A45, 46E30
  • Bourgain, J.   $lsp{infty }/csb{0}$ has no equivalent strictly convex norm   Proc. Amer. Math. Soc.   79   2   (1980)   225-226   46B25, 46A45
  • Bourgain, J.   Decompositions in the product of a measure space and a Polish space   Fund. Math.   105   1   (1979-1980)   61-71   28A05, 04A15
  • Bourgain, J.   Some remarks on compact sets of first Baire class   Bull. Soc. Math. Belg.   30   1   (1978)   3-10   54C50, 54E50
  • Bourgain, J.   A geometric characterization of the Radon-Nikod'ym property in Banach spaces   Compositio Math.   36   1   (1978)   3-6   46B20
  • Bourgain, J.;Fremlin, D. H.;Talagrand, M.   Pointwise compact sets of Baire-measurable functions   Amer. J. Math.   100   4   (1978)   845-886   54C50
  • Bourgain, J.   On dentability and the Bishop-Phelps property   Israel J. Math.   28   4   (1977)   265-271   46B05
  • Bourgain, J.   Compact sets of first Baire class   Bull. Soc. Math. Belg.   29   2   (1977)   135-143   54C50
  • Bourgain, J.   Strongly exposed points in weakly compact convex sets in Banach spaces   Proc. Amer. Math. Soc.   58     (1976)   197-200   46B05