Orthonormal bases for  α-modulation spaces

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Abstract

We construct an orthonormal basis for the family of bi-variate α-modulation spaces. The construction is based on local trigonometric bases, and the basis elements are closely related to so-called brushlets. As an application, we show that m-term nonlinear approximation with the representing system in an α-modulation space can be completely characterized.
OriginalsprogEngelsk
TidsskriftCollectanea Mathematica
Vol/bind61
Udgave nummer2
Sider (fra-til)173-190
Antal sider18
ISSN0010-0757
StatusUdgivet - 2010

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