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Sbornik: Mathematics, 1997, Volume 188, Issue 10, Pages 1481–1506
DOI: https://doi.org/10.1070/sm1997v188n10ABEH000264 (Mi sm264) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Periodic wavelets

A. P. Petukhov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
English version PDF (298 kB) Citations (19)
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DOI: https://doi.org/10.1070/sm1997v188n10ABEH000264
Abstract: Definitions of multiresolution analysis and wavelet decomposition for a wide range of quasi-Banach spaces of periodic distributions are suggested. Elementary properties of such MRAs are investigated. Economical algorithms of wavelet decomposition and reconstruction are presented.
Received: 30.08.1995 and 07.12.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 10, Pages 69–94
DOI: https://doi.org/10.4213/sm264
Bibliographic databases:
UDC: 517.5
MSC: 42C15, 65T99
Language: English
Original paper language: Russian
Citation: A. P. Petukhov, “Periodic wavelets”, Mat. Sb., 188:10 (1997), 69–94; Sb. Math., 188:10 (1997), 1481–1506
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    References:57
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