Hardy's theorem for the n-dimensional Euclidean motion group

被引：28

作者：

Sundari, M ^{[1
]}

机构：

[1] Indian Stat Inst, Div Math & Stat, Bangalore 560059, Karnataka, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 04期

关键词：

uncertainty principle; Fourier transform pairs; very rapidly decreasing; Euclidean motion group;

D O I：

10.1090/S0002-9939-98-04144-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An uncertainty principle; due to Hardy, for Fourier transform pairs on R says that if the function f is "very rapidly decreasing", then the Fourier transform cannot also be "very rapidly decreasing" unless S is identically zero. In this paper we state and prove an analogue of Hardy's theorem for the n-dimensional Euclidean motion group.

引用

页码：1199 / 1204

页数：6

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