Real Paley-Wiener theorems for the inverse fourier transform on a Riemannian symmetric space

被引：23

作者：

Andersen, NB ^{[1
]}

机构：

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2004年 / 213卷 / 01期

关键词：

D O I：

10.2140/pjm.2004.213.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove real Paley-Wiener theorems for the inverse Fourier transform on a semisimple Riemannian symmetric space G/K of the noncompact type. The functions on G/K whose Fourier transform has compact support are characterised by a L-2 growth condition. We also obtain real Paley-Wiener theorems for the inverse spherical transform.

引用

页码：1 / 13

页数：13

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