Orthonormal bases for "alpha"-modulation spaces

• Autores: Morten Nielsen
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 2, 2010, págs. 173-190
• Idioma: español
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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.