On Hardy’s Theorem on SU(1,1)

被引：0
|
作者：
Takeshi KAWAZOE
机构：
[1] Department of Mathematics Keio University at Fujisawa Endo
[2] Kanagawa
[3] 252-8520
[4] Japan.
来源：
Chinese Annals of Mathematics | 2007年 / 04期
基金：
中国国家自然科学基金;
关键词：
Heat kernel; Jacobi transform; Plancherel formula;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
The classical Hardy theorem asserts that ■ and its Fourier transform ■ can not both be very rapidly decreasing.This theorem was generalized on Lie groups and also for the Fourier-Jacobi transform.However,on SU（1,1）there are infinitely many"good"functions in the sense that ■ and its spherical Fourier transform ■ both have good decay. In this paper,we shall characterize such functions on SU（1,1）.
引用
收藏
页码：429 / 440
页数：12
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