Optimal functions for a periodic uncertainty principle and multiresolution analysis

被引：26

作者：

Prestin, J ^{[1
]}

Quak, E

机构：

[1] GSF Forschungszentrum Umwelt & Gesundheit, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

[2] SINTEF, Appl Math, N-0314 Oslo, Norway

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1999年 / 42卷

关键词：

D O I：

10.1017/S0013091500020216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3]. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties. 1991 Mathematics subject classification: Primary 42A16, Secondary 26D05, 26D10, 26D15.

引用

页码：225 / 242

页数：18

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