ON THE STABILITY OF FRAMES AND RIESZ BASES

被引：130

作者：

FAVIER, SJ ^{[1
]}

ZALIK, RA ^{[1
]}

机构：

[1] AUBURN UNIV, DEPT MATH, AUBURN, AL 36849 USA

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1995年 / 2卷 / 02期

关键词：

D O I：

10.1006/acha.1995.1012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first part of this paper supplements the recent work of Heil and Christensen on the stability of frames in Banach and Hilbert spaces. After obtaining a multivariate version of Kadec's 1/4-theorem (which is used in the sequel), two of Christensen's results, Chui and Shi's Second Oversampling Theorem, and a variety of other results and techniques are applied to study the stability of multivariate exponential, wavelet, and Gabor frame and Riesz bases. Specific frame bounds and quantitative conditions of validity for mother wavelet and sampling perturbations are given. (C) 1995 Academic Press, Inc.

引用

页码：160 / 173

页数：14

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