St. Petersburg Mathematical Society

Author(s): I. E. Maksimenko; M. A. Skopina
Translated by: the authors
Original publication: Algebra i Analiz, tom 15 (2003), vypusk 2.
Journal: St. Petersburg Math. J. 15 (2004), 165-190.
MSC (2000): Primary 42C40
Posted: January 26, 2004
Retrieve article in: PDF DVI PostScript

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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I. E. Maksimenko
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, St. Petersburg 198504, Russia
Email: irene@ir4558.spb.edu

M. A. Skopina
Affiliation: Department of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr. 28, St. Petersburg 198504, Russia
Email: skopina@sk.usr.lgu.spb.su

DOI: 10.1090/S1061-0022-04-00808-8
PII: S 1061-0022(04)00808-8
Keywords: Multiresolution analysis, wavelet bases, matrix dilation
Received by editor(s): 10/JUL/2002
Posted: January 26, 2004
Additional Notes: Supported by RFBR (grant no. 3-01-00373)
Copyright of article: Copyright 2004, American Mathematical Society

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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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