# Fractional calculus and analytic continuation of the complex fourier-jacobi transform

Kawazoe Takeshi, Liu Jianming

2 被引用数 (Scopus)

## 抄録

By using the Riemann-Liouville 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 easily obtained. Moreover, we shall introduce a class of even functions, not C and not compactly supported on R, whose transforms have meromorphic extensions on the upper half plane.

本文言語 English 187-207 21 Tokyo Journal of Mathematics 27 1 https://doi.org/10.3836/tjm/1244208484 Published - 2004

• 数学 (全般)

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