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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 4, Pages 225–232 (Mi timm1368)
This article is cited in 2 papers

Biorthogonal bases of spaces of $n$-separate multiresolution analysis and multiwavelets

E. A. Pleshcheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: We construct biorthogonal bases of spaces of $n$-separate multiresolution analysis and wavelets for $n$ scaling functions. Fast algorithms are presented for finding the coefficients of expansion of functions in such bases.

Keywords: wavelet, mask, biorthogonal basis, scaling function, multiresolution analysis.

UDC: 517.5

MSC: 42C40, 42A38

Received: 15.08.2016

DOI: 10.21538/0134-4889-2016-22-4-225-232


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, 300, suppl. 1, 145–152

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