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

页码：186 / 198

页数：13

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