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p-Adic nonorthogonal wavelet bases
Authors:S. Albeverio  S. Evdokimov  M. Skopina
Affiliation:1.Institut für Angewandte Mathematik,Universit?t Bonn,Bonn,Germany;2.Interdisziplin?res Zentrum für Komplexe Systeme,Universit?t Bonn,Bonn,Germany;3.St. Petersburg Department of the Steklov Institute of Mathematics,Russian Academy of Sciences,St. Petersburg,Russia;4.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(ℚ p ) is developed. The method is implemented for an infinite family of MRAs.
Keywords:
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