Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
نویسندگان
چکیده
منابع مشابه
Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
In the present paper, we study nonlinear approximation properties of multivariate wavelet biframes. For a certain range of parameters, the approximation classes associated with best N term approximation are determined to be Besov spaces and thresholding the wavelet bi-frame expansion realizes the approximation rate. Our findings extend results about dyadic wavelets to more general scalings. Fin...
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Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften Acknowledgements First and foremost, I would like to thank Professor Stephan Dahlke, my thesis advisor, who endorsed and inspired me both to address the topic of wavelet frames and to consider new aspects while working on this thesis. I am thankful to Professor Gerlind Plonka-Hoch for being my second referee and for organizing ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2009
ISSN: 0021-9045
DOI: 10.1016/j.jat.2008.09.007