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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 401, Pages 122–143 (Mi znsl5230)  
This article is cited in 1 scientific paper (total in 1 paper)

Symmetric orthogonal wavelets with dilation factor $M=3$

A. V. Krivoshein, M. A. Ogneva

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (299 kB) Citations (1)
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Abstract: For the dilation factor $M=3$ and any given symmetric $3$-orthogonal refinable mask, we describe all symmetric $3$-orthogonal wavelet masks for which the corresponding wavelet systems form an orthonormal basis in $L_2(\mathbb R)$.
Key words and phrases: orthogonal wavelets, symmetric wavelets, wavelets with compact support, unitary extension principle, polyphase components.
Received: 24.04.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 6, Pages 667–677
DOI: https://doi.org/10.1007/s10958-013-1556-6
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. V. Krivoshein, M. A. Ogneva, “Symmetric orthogonal wavelets with dilation factor $M=3$”, Investigations on linear operators and function theory. Part 40, Zap. Nauchn. Sem. POMI, 401, POMI, St. Petersburg, 2012, 122–143; J. Math. Sci. (N. Y.), 194:6 (2013), 667–677
Citation in format AMSBIB
\Bibitem{KriOgn12}
\by A.~V.~Krivoshein, M.~A.~Ogneva
\paper Symmetric orthogonal wavelets with dilation factor~$M=3$
\inbook Investigations on linear operators and function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 401
\pages 122--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981971}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 6
\pages 667--677
\crossref{https://doi.org/10.1007/s10958-013-1556-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898993475}
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  • https://www.mathnet.ru/eng/znsl/v401/p122
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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