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

doi:10.1016/j.jco.2006.08.002

Journal of Complexity

Volume 23, Issues 4–6, August–December 2007, Pages 468-497

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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.

MSC

46E35

41A25

41A46

42B35

42C40

Keywords

Wavelets on domains

Function spaces

Sampling numbers

Polynomial reproducing formulas