Completeness of the Grid Translates of Functions

被引：1
|
作者：
Ray, Swagato K. [1 ]
Sarkar, Rudra P. [1 ]
Weit, Yitzhak [2 ]
机构：
[1] Indian Stat Inst, Stat Math Unit, Kolkata 700108, W Bengal, India
[2] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2014年 / 20卷 / 01期
关键词：
Grid-translate; Euclidean space; Riemannian symmetric space; Homogeneous group; MANIFOLDS; SPACES; TRANSFORM; KERMAN; WEIT;
D O I：
10.1007/s00041-013-9294-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If is a bounded real valued continuous function which has a unique maximum or a unique minimum at a point and if the inverse image of the neighborhoods of f(x (0)) shrinks regularly to x (0), then is a dense subset of where f (m) (x)=f(x) (m) and {e (i) } is the natural basis of . The result extends to all homogeneous groups, Riemannian symmetric spaces of noncompact type, Damek-Ricci spaces etc.
引用
收藏
页码：186 / 198
页数：13
相关论文
共 50 条
12345