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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 67–83 (Mi znsl6407)  
This article is cited in 1 scientific paper (total in 1 paper)

On biorthogonal $p$-adic wavelet bases

E. J. Kinga, M. A. Skopinab

a University of Bremen, Bremen, Germany
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (253 kB) Citations (1)
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Abstract: Dual $p$-adic multiresolution analyses (MRAs) generated by scaling test functions are studied. It is proved that if two MRAs are dual, then each of MRAs is the Haar MRA. A characterization of all biorthogonal wavelet systems associated with the Haar MRA is given for the case $p=2$.
Key words and phrases: $p$-adic multiresolution analysis, scaling function, Riesz basis, $p$-adic wavelets.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05796-a
Saint Petersburg State University 9.38.198.2015
Volkswagen Foundation
Received: 10.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 158–169
DOI: https://doi.org/10.1007/s10958-018-3992-9
Document Type: Article
UDC: 517.98+511.225
Language: Russian
Citation: E. J. King, M. A. Skopina, “On biorthogonal $p$-adic wavelet bases”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 67–83; J. Math. Sci. (N. Y.), 234:2 (2018), 158–169
Citation in format AMSBIB
\Bibitem{KinSko17}
\by E.~J.~King, M.~A.~Skopina
\paper On biorthogonal $p$-adic wavelet bases
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 67--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6407}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 158--169
\crossref{https://doi.org/10.1007/s10958-018-3992-9}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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