Shift-invariant subspaces and wavelets on local fields

被引：5

作者：

Behera, B. ^{[1
]}

机构：

[1] Indian Stat Inst, Stat & Math Unit, Kolkata 700108, India

来源：

ACTA MATHEMATICA HUNGARICA | 2016年 / 148卷 / 01期

关键词：

wavelet; local field; frame; shift-invariant;

D O I：

10.1007/s10474-015-0558-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every closed shift-invariant subspace of L (2)(K) is generated by the I >-translates of a countable number of functions, where K is a local field of positive characteristic and I > is an appropriate translation set. We use this result to provide a characterization of wavelets on such a field.

引用

页码：157 / 173

页数：17

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