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Bényi, A.* ; Grafakos, L.* ; Gröchenig, K. ; Okoudjou, K.*

A class of Fourier multipliers for modulation spaces.

Appl. Comput. Harmon. Anal. 19, 131-139 (2005)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
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
Corresponding Author
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 Article Number: , Supplement: ,
Publisher Academic Press
Publishing Place San Diego, Calif. [u.a.]
Non-patent literature Publications
Reviewing status Peer reviewed