On real Paley-Wiener theorems for certain integral transforms

被引：14

作者：

Andersen, NB ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Paley-Wiener theorems; Jacobi transform; Chebli-Trimeche transform;

D O I：

10.1016/S0022-247X(03)00585-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove real Paley-Wiener theorems for the (inverse) Jacobi transform, characterising the space of L-2-functions whose image under the Jacobi transform are (smooth) functions with compact support. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：124 / 135

页数：12

共 7 条

[1]

ANDERSEN NB, UNPUB PACIFIC J MATH

[2] Fourier transforms of Schwartz functions on Chebli-Trimeche hypergroups [J].

Bloom, WR ;

Xu, ZF .

MONATSHEFTE FUR MATHEMATIK, 1998, 125 (02) :89-109

[3]

Erdelyi A, 1953, HIGHER TRANSCENDENTA

[4] PALEY-WIENER TYPE THEOREMS FOR A DIFFERENTIAL OPERATOR CONNECTED WITH SYMMETRIC SPACES [J].

FLENSTEDJENSEN, M .

ARKIV FOR MATEMATIK, 1972, 10 (01) :143-+

[5] NEW PROOF OF A PALEY-WIENER TYPE THEOREM FOR JACOBI TRANSFORM [J].

KOORNWINDER, T .

ARKIV FOR MATEMATIK, 1975, 13 (01) :145-159

[6]

Koornwinder T. H., 1984, SPECIAL FUNCTIONS GR, P1

[7] Paley-Wiener-type theorems for a class of integral transforms [J].

Tuan, VK ;

Zayed, AI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 266 (01) :200-226

← 1 →