Orthonormal bases for anisotropic α-modulation spaces

• Autores: Kenneth N. Rasmussen
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 1, 2012, págs. 109-121
• Idioma: inglés
• DOI: 10.1007/s13348-011-0052-x
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• Resumen

  • In this article we construct orthonormal bases for bi-variate anisotropic α-modulation spaces. The construction is based on generating a nice anisotropic α-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. As an application, we show that n-term nonlinear approximation with the orthonormal bases in certain anisotropic α-modulation spaces can be completely characterized.