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Tight compactly supported wavelet frames of arbitrarily high smoothness. (English) Zbl 0911.42014

Based on Ron and Shen’s new method for constructing tight wavelet frames [A. Ron and Z. Shen, J. Funct. Anal. 148, No. 2, 408-447 (1997; Zbl 0891.42018)], the authors show how to construct, for any dilation matrix, and any spatial dimension, tight wavelet frames generated by compactly supported functions with arbitrarily high smoothness.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
42C30 Completeness of sets of functions in nontrigonometric harmonic analysis

Citations:

Zbl 0891.42018
Full Text: DOI

References:

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