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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Modulation Spaces
Orthonormal basis
Covering
Nonlinear Approximation
Tensor Product
Term

Cite this

Rasmussen, K. N. (2011). Orthonormal bases for anisotropic α-modulation spaces. Department of Mathematical Sciences, Aalborg University. Research Report Series, No. R-2011-02
Rasmussen, Kenneth Niemann. / Orthonormal bases for anisotropic α-modulation spaces. Department of Mathematical Sciences, Aalborg University, 2011. 15 p. (Research Report Series; No. R-2011-02).
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Rasmussen, KN 2011, Orthonormal bases for anisotropic α-modulation spaces. Research Report Series, no. R-2011-02, Department of Mathematical Sciences, Aalborg University.

Orthonormal bases for anisotropic α-modulation spaces. / Rasmussen, Kenneth Niemann.

Department of Mathematical Sciences, Aalborg University, 2011. 15 p.

Research output: Book/ReportReportResearch

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Rasmussen KN. Orthonormal bases for anisotropic α-modulation spaces. Department of Mathematical Sciences, Aalborg University, 2011. 15 p. (Research Report Series; No. R-2011-02).