DESCRIBING FUNCTIONS - ATOMIC DECOMPOSITIONS VERSUS FRAMES

被引：346

作者：

GROCHENIG, K

机构：

[1] Department of Mathematics U-9, University of Connecticut, Storrs, 06269-3009, CT

来源：

MONATSHEFTE FUR MATHEMATIK | 1991年 / 112卷 / 01期

关键词：

D O I：

10.1007/BF01321715

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The theory of frames and non-orthogonal series expansions with respect to coherent states is extended to a general class of spaces, the so-called coorbit spaces. Special cases include wavelet expansions for the Besov-Triebel-Lizorkin spaces, Gabor-type expansions for modulation spaces, and sampling theorems for wavelet and Gabor transforms.

引用

页码：1 / 41

页数：41

共 38 条

[1]

[Anonymous], 1983, MONOGRAPHS MATH

[2] ON A HILBERT SPACE OF ANALYTIC FUNCTIONS AND AN ASSOCIATED INTEGRAL TRANSFORM .1. [J].