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$p$ -Adic Nonorthogonal Wavelet BasesS. Albeverio ab ,
S. Evdokimov c ,
M. Skopina d 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 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.
UDC:
517.5
Received in October 2008
Language: English
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