Abstract
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.
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Rasmussen, K.N. Orthonormal bases for anisotropic α-modulation spaces. Collect. Math. 63, 109–121 (2012). https://doi.org/10.1007/s13348-011-0052-x
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DOI: https://doi.org/10.1007/s13348-011-0052-x