A theorem of Beurling and Hormander on Damek-Ricci spaces

被引：1
|
作者：
Ray, Swagato K. [1 ]
Sarkar, Rudra P. [2 ]
机构：
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
[2] Indian Stat Inst, Stat Math Unit, Kolkata 700108, W Bengal, India
来源：
ADVANCES IN PURE AND APPLIED MATHEMATICS | 2010年 / 1卷 / 01期
关键词：
Harmonic NA groups; Radon transform;
D O I：
10.1515/APAM.2010.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Beurling's theorem and L-p-L-q Morgan's theorem for Damek-Ricci spaces. These two theorems exhaust a family of theorems which illustrate a well-known paradigm that a function and its Fourier transform cannot be simultaneously localized.
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页码：65 / 79
页数：15
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