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.
Originalsprog | Engelsk |
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Udgivelsessted | Aalborg |
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Forlag | Department of Mathematical Sciences, Aalborg University |
Antal sider | 17 |
Status | Udgivet - 2008 |
Navn | Research Report Series |
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Nummer | R-2008-03 |
ISSN | 1399-2503 |