Characterization of Modulation Spaces by Nonlinear Approximation

Simple item page
dc.creatorSamarah, S.
dc.creatorAl-Sa'di, S.
dc.date2006-02-12
dc.date.accessioned2026-07-07T07:03:20Z
dc.date.available2026-07-07T07:03:20Z
dc.descriptionIt is shown that the modulation spaces $M_{p}^{w}$ can be characterized by the approximation behavior of their elements using Local Fourier bases. In analogy to the Local Fourier bases, we show that the modulation spaces can also be characterized by the approximation behavior of their elements using Gabor frames. We derive direct and inverse approximation theorems that describe the best approximation by linear combinations of N terms of a given function using its modulates and translates.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0602250
dc.identifierhttp://arxiv.org/abs/math/0602250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108934
dc.subjectFunctional Analysis
dc.subject41A46
dc.titleCharacterization of Modulation Spaces by Nonlinear Approximation
dc.typetext

Files

Collections

arXiv