2018Proceedings of the Steklov Institute of MathematicsRequires access

Biorthogonal Bases of Spaces of an n-Separate Multiresolution Analysis and Multiwavelets

Е. А. Плещева

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Abstract

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

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

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Available abstract

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

Key concepts: Biorthogonal system, Multiresolution analysis, Wavelet, Biorthogonal wavelet, Scaling, Mathematics, Construct (python library), Pure mathematics

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