FRAME PERTURBATIONS

被引：70

作者：

CHRISTENSEN, O

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 04期

关键词：

D O I：

10.2307/2160722

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability of Hilbert space frames under perturbations. Our results are in spirit close to classical results for orthonormal bases, due to Paley and Wiener.

引用

页码：1217 / 1220

页数：4

共 7 条

[1]

CHRISTENSEN O, IN PRESS J MATH ANAL

[2] THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].

DAUBECHIES, I .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005

[3] PAINLESS NONORTHOGONAL EXPANSIONS [J].

DAUBECHIES, I ;

GROSSMANN, A ;

MEYER, Y .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (05) :1271-1283

[4] A CLASS OF NONHARMONIC FOURIER SERIES [J].

DUFFIN, RJ ;

SCHAEFFER, AC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 72 (MAR) :341-366

[5]

Heil C., 1990, THESIS U MARYLAND

[6] CONTINUOUS AND DISCRETE WAVELET TRANSFORMS [J].

HEIL, CE ;

WALNUT, DF .

SIAM REVIEW, 1989, 31 (04) :628-666

[7]

Young R., 1980, NONHARMONIC FOURIER

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