Title of article
Time-frequency partitions and characterizations of modulation spaces with localization operators
Author/Authors
Monika D?rfler، نويسنده , , Karlheinz Gr?chenig ?، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
22
From page
1903
To page
1924
Abstract
We study families of time-frequency localization operators and derive a new characterization of modulation
spaces. This characterization relates the size of the localization operators to the global time-frequency
distribution. As a by-product, we obtain a new proof for the existence of multi-window Gabor frames and
extend the structure theory of Gabor frames.
© 2011 Elsevier Inc. All rights reserved
Keywords
Phase-space localization , Short-time Fourier transform , Modulation space , Localization operator , Gaborframe
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840399
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