Orthonormal bases for anisotropic α-modulation spaces

Kenneth Niemann Rasmussen

Research output: Book/ReportReportResearch

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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.

Original languageEnglish
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages15
Publication statusPublished - Jan 2011
SeriesResearch Report Series
NumberR-2011-02
ISSN1399-2503

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