Abstract

It is shown that local Fourier bases are unconditional bases for modulation spaces. We prove first a version of the Schur test for double sequence with mixed norm and then use it to show boundedness of the analysis operator on the modulation space M_{p,q}^w

DOI

Keywords

local Fourier bases, Schur test, mixed norm space, atomic decomposition

First Page

447

Last Page

462

Recommended Citation

SAMARAH, SALTI and SALMAN, RANIA (2006) "Local Fourier Bases and Modulation Spaces," Turkish Journal of Mathematics: Vol. 30: No. 4, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol30/iss4/8

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