Wiener's Lemma for twisted convolution and Gabor frames

被引:144
作者
Gröchenig, K
Leinert, M
机构
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Fak Math, Inst Angew Math, D-69120 Heidelberg, Germany
关键词
twisted convolution; Heisenberg group; Wiener's Lemma; symmetric group algebra; Gabor frame; modulation space; window design; invertibility of operators;
D O I
10.1090/S0894-0347-03-00444-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:1 / 18
页数:18
相关论文
共 32 条
[1]  
[Anonymous], 1995, J FOURIER ANAL APPL
[2]   WHEN IS THE SPECTRUM OF A CONVOLUTION OPERATOR ON LP INDEPENDENT OF P [J].
BARNES, BA .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1990, 33 :327-332
[3]   Gabor frames, unimodularity, and window decay [J].
Bölcskei, H ;
Janssen, AJEM .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2000, 6 (03) :255-276
[4]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[5]  
Daubechies I., 1995, J FOURIER ANAL APPL, V1, P437, DOI [DOI 10.1007/S00041-001-4018-3, 10.1007/s00041-001-4018-30, 10.1007/s00041-001-4018-3]
[6]  
DAVIDSON KR, 1996, CSTAR ALGEBRAS EXAMP
[7]   THE STRUCTURE OF THE IRRATIONAL ROTATION C(ASTERISK)-ALGEBRA [J].
ELLIOTT, GA ;
EVANS, DE .
ANNALS OF MATHEMATICS, 1993, 138 (03) :477-501
[8]  
Feichtinger H. G., 1998, GABOR ANAL ALGORITHM
[9]   ON A NEW SEGAL ALGEBRA [J].
FEICHTINGER, HG .
MONATSHEFTE FUR MATHEMATIK, 1981, 92 (04) :269-289
[10]   BANACH-SPACES RELATED TO INTEGRABLE GROUP-REPRESENTATIONS AND THEIR ATOMIC DECOMPOSITIONS .2. [J].
FEICHTINGER, HG ;
GROCHENIG, KH .
MONATSHEFTE FUR MATHEMATIK, 1989, 108 (2-3) :129-148