Multivariate periodic wavelets

Maksimenko, I.; Skopina, M.

doi:10.1090/S1061-0022-04-00808-8

Multivariate periodic wavelets
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by I. E. Maksimenko and M. A. Skopina
Translated by: the authors

St. Petersburg Math. J. 15 (2004), 165-190

DOI: https://doi.org/10.1090/S1061-0022-04-00808-8

Published electronically: January 26, 2004

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Abstract:

A general construction of a multiresolution analysis with a matrix dilation for periodic functions is described, together with a method of finding wavelet biorthogonal bases. The convergence of expansions with respect to these bases is studied.

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