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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Tokyo Journal of Mathematics
( Vol. 27 NO.1 / (2004))
Fractional Calculus and Analytic Continuation of the Complex fourier-Jacobi Transform
Takeshi Kawazoe, Jinming Liu,
Pages. 187-107
Abstract By using the Riemann-Liouvile type fractional integral operators we shall reduce the complex Fourier-Jacobi transforms of even functions on $R$ to the Euclidean Fourier transforms. As an application of the reduction formula, Parseval's formula and an inversion formula of the complex Jacobi transform are ealily obtained. Moreover. We shallintroduce a class of even functions, not $C^infty$ and not compactly supported on $R$. whose transforms have meromorphic extensions on the upper half plane.
Contents 1. Introduction
2. Notations
3. Fractional integrals
4. Reduction formula
5. Inversion formula
6. Analytic continuation
Key words
Mathmatical Subject Classification