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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 7–18 (Mi tm818)  
This article is cited in 27 scientific papers (total in 27 papers)

$p$-Adic Nonorthogonal Wavelet Bases

S. Albeverioab, S. Evdokimovc, M. Skopinad

a Institut für Angewandte Mathematik, Universität Bonn, Bonn, Germany
b Interdisziplinäres Zentrum für Komplexe Systeme, Universität Bonn, Bonn, Germany
c St. Petersburg Department of the Steklov Institute of Mathematics, Russian Academy of Sciences, St.-Petersburg, Russia
d Faculty of Applied Mathematics and Control Processes, St.-Petersburg State University, St.-Petersburg, Russia
Full-text PDF (232 kB) Citations (27)
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Abstract: A method for constructing MRA-based $p$-adic wavelet systems that form Riesz bases in $L^2(\mathbb Q_p)$ is developed. The method is implemented for an infinite family of MRAs.
Received in October 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 1–12
DOI: https://doi.org/10.1134/S0081543809020011
Bibliographic databases:
UDC: 517.5
Language: English
Citation: S. Albeverio, S. Evdokimov, M. Skopina, “$p$-Adic Nonorthogonal Wavelet Bases”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 7–18; Proc. Steklov Inst. Math., 265 (2009), 1–12
Citation in format AMSBIB
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\pages 7--18
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 27 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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