Wavelet para-bases and sampling numbers in function spaces on domains

Authors:
Hans Triebel
Affiliations:
Mathematisches Institut, Friedrich-Schiller-Universität Jena, D-07737 Jena, Germany
Venue:
Journal of Complexity
Year:
2007

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Abstract

This paper deals with wavelet frames (para-bases), local polynomial reproducing formulas, and sampling numbers in function spaces on arbitrary and on E-thick domains in Euclidean n-space. In an Appendix we collect some recent instruments for corresponding function spaces on Euclidean n-space.