Surgery of Spline-type and Molecular Frames

被引：25

作者：

Romero, Jose Luis ^{[1
,2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2011年 / 17卷 / 01期

关键词：

Spline-type space; Frame surgery; Sampling; Gabor frame; Gabor multiplier; SHIFT-INVARIANT SUBSPACES; INFINITE MATRICES; BANACH-SPACES; DECOMPOSITION METHODS; WIENERS LEMMA; LOCALIZATION; L(2)(R(D)); OPERATORS; SYSTEMS;

D O I：

10.1007/s00041-010-9127-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a result about producing new frames for general spline-type spaces by piecing together portions of known frames. Using spline-type spaces as models for the range of certain integral transforms, we obtain results for time-frequency decompositions and sampling.

引用

页码：135 / 174

页数：40

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[2]

ALDROUBI A, 2004, APPL COMPUT HARMON A

[3]

[Anonymous], C MATH SOC JANOS BOL

[4] Density, overcompleteness, and localization of frames. I. Theory [J].