Local Fourier Bases and Modulation Spaces

Authors: SALTI SAMARAH, RANIA SALMAN

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

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

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