Journals / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 4

Local Fourier Bases and Modulation Spaces

Pages
447–462
DOI
—

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 Mp,qw

Özet

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 Mp,qw

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