Orthonormal bases for "alpha"-modulation spaces
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Autores: Morten Nielsen
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 2, 2010, págs. 173-190
- Idioma: español
- DOI: 10.1007/bf03191240
- Enlaces
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Resumen
We construct an orthonormal basis for the family of bi-variate $\alpha$-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 $\alpha$-modulation space can be completely characterized.
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