THE AFFINE UNCERTAINTY PRINCIPLE IN ONE AND 2 DIMENSIONS

被引：33

作者：

DAHLKE, S ^{[1
]}

MAASS, P ^{[1
]}

机构：

[1] UNIV POTSDAM,FACHBEREICH MATH,D-14415 POTSDAM,GERMANY

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 3-6期

关键词：

SQUARE INTEGRABLE REPRESENTATIONS; WAVELET TRANSFORM; UNCERTAINTY PRINCIPLE; SELF-ADJOINT OPERATORS;

D O I：

10.1016/0898-1221(95)00108-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct families of wavelets that minimize an uncertainty relation associated with square integrable representations of some canonical groups. Especially, we obtain a new interpretation of the Mexican hat function.

引用

页码：293 / 305

页数：13

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