A note on Hardy's theorem and rotations

被引：0

作者：

Patra, Partha Sarathi ^{[1
]}

机构：

[1] Vidyasagar Univ, Hijli Coll, Dept Math, PO Hijli Cooperat, Kharagpur 721306, W Bengal, India

来源：

SEMIGROUP FORUM | 2021年 / 103卷 / 01期

关键词：

Uncertainty principle; Hardy's theorem; Hermite semigroup;

D O I：

10.1007/s00233-021-10191-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a very short proof, using the Hermite semigroup, to a generalized version of Hardy's theorem due to Hogan and Lakey. We characterize f is an element of L-2(R-n) when decay of f and its Fourier transform (f) over cap is assumed in some rays of the complex plane. Also considering the decay of the Hermite coefficient of f is an element of L-2(R-n), we prove a version of Hardy's theorem related to rotation.

引用

页码：209 / 220

页数：12

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