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 language | English |
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Publisher | Department of Mathematical Sciences, Aalborg University |
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Number of pages | 15 |
Publication status | Published - Jan 2011 |
Series | Research Report Series |
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Number | R-2011-02 |
ISSN | 1399-2503 |