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Open Access Green as soon as Postprint is submitted to ZB.
A class of Fourier multipliers for modulation spaces.
Appl. Comput. Harmon. Anal. 19, 131-139 (2005)
We prove the boundedness of a general class of Fourier multipliers, in particular of the Hilbert transform, on modulation spaces. In general, however, the Fourier multipliers in this class fail to be bounded on Lp spaces. The main tools are Gabor frames and methods from time–frequency analysis.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
fourier multipliers; Hilbert transform; Gabor frames; modulation spaces; short-time Fourier transform
ISSN (print) / ISBN
1063-5203
e-ISSN
1096-603X
Quellenangaben
Volume: 19,
Issue: 1,
Pages: 131-139
Publisher
Elsevier
Publishing Place
San Diego, Calif. [u.a.]
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)