Orthonormal bases for α-modulation spaces

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Abstract

We construct an orthonormal basis for the family of bi-variate a-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 system in an a-modulation space can be completely characterized.

OriginalsprogEngelsk
UdgivelsesstedAalborg
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider17
StatusUdgivet - 2008
NavnResearch Report Series
NummerR-2008-03
ISSN1399-2503

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