Non-Haar \(p\)-adic wavelets and pseudodifferential operators
type: Item
instance of: scholarly article
title: Non-Haar \(p\)-adic wavelets and pseudodifferential operators
zbMATH Open document ID: 1213.42147
DOI: 10.1134/S1064562408010110
published in: Doklady Mathematics
publication date: 2009-01-05T00:00:00Z
review text: The paper is a brief exposition of the authors' construction of new orthogonal wavelet bases in \(L^2(\mathbb Q_p)\) consisting of eigenfunctions of pseudo-differential operators of fractional type. For further details, see [\textit{A. Yu. Khrennikov, V. M. Shelkovich}, Appl. Comput. Harmon. Anal. 28, No. 1, 1--23 (2010; Zbl 1184.46066); \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 3, 204--216 (2009; Zbl 1187.42034)].
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 11S80
zbMATH DE Number: 5485365
zbMATH Keywords: \(p\)-adic wavelets
zbMATH Keywords: \(p\)-adic pseudodifferential operators
zbMATH Keywords: eigenfunction
author: Andrei Khrennikov
author: V. M. Shelkovich
MaRDI profile type: Publication
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full work available at URL: s1064562408010110
OpenAlex ID: W2082260572
description: scientific article; zbMATH DE number 5485365