A Paley-Wiener theorem for distributions on reductive symmetric spaces

被引：3

作者：

Van den Ban, E. P.

Schlichtkrull, H.

机构：

[1] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands

[2] Univ Copenhagen, Math Inst, D-2100 Hamburg, Germany

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2007年 / 6卷 / 04期

关键词：

harmonic analysis; Paley-Wiener theorem; Fourier transform; distribution; symmetric space;

D O I：

10.1017/S1474748007000114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier transforms of compactly supported K-finite distributions on X and characterize the image of the space of such distributions.

引用

页码：557 / 577

页数：21

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