Support theorems on Rn and non-compact symmetric spaces

被引：0

作者：

Narayanan, E. K. ^{[1
]}

Samanta, Amit ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 10期

关键词：

Support theorems; Paley-Wiener theorems; Analytic sets; Symmetric spaces; Spherical Fourier transform; DIFFERENTIAL-EQUATIONS; INFINITY;

D O I：

10.1016/j.jfa.2010.07.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider convolution equations of the type f * T = g, where f, g is an element of L-P (R-n) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fourier transform of T, we show that f is compactly supported, provided g is. Similar results are proved for non-compact symmetric spaces as well. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2587 / 2612

页数：26

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