\(p\)-adic Haar multiresolution analysis and pseudo-differential operators

From MaRDI portal
Publication:731264

DOI10.1007/s00041-008-9050-0zbMath1192.42024arXiv0705.2294OpenAlexW2100753925MaRDI QIDQ731264

Vladimir Shelkovich, Maria A. Skopina

Publication date: 2 October 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2294



Related Items

On biorthogonal \(p\)-adic wavelet bases, On non-compactly supported \(p\)-adic wavelets, Regular representations of the central extension of the group of diffeomorphisms of the circle, \(p\)-adic mathematical physics: the first 30 years, The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory, Wavelet analysis on adeles and pseudo-differential operators, Frame multiresolution analysis on \({\mathbb{Q}}_p\), On \(p\)-adic tight wavelet frames, Wavelet bases on adele rings, Characterization of Lipschitz spaces via commutators of fractional maximal function on the \(p\)-adic variable exponent Lebesgue spaces, Haar system on the product of groups of \(p\)-adic integers, Multiresolution analysis on product of zero-dimensional Abelian groups, Measure-free viewpoint on \(p\)-adic and adelic wavelets, In memoriam: Vladimir M. Shelkovich (1949--2013), \(p\)-adic multiresolution analysis and wavelet frames, Haar system on a product of zero-dimensional compact groups, On orthogonal \(p\)-adic wavelet bases, \(p\)-adic wavelets and their applications, Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators, Time-frequency analysis on the adeles over the rationals, Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\), HAAR BASES FOR $L^2(\mathbb{Q}_2^2)$ GENERATED BY ONE WAVELET FUNCTION, Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\), Multidimensional \(p\)-adic wavelets for the deformed metric, Pseudodifferential operators on Adele rings and wavelet bases, Wavelet bases in the Lebesgue spaces on the field of \(p\)-adic numbers, On \(p\)-adic mathematical physics, Frames of \(p\)-adic wavelets and orbits of the affine group, Multidimensional basis of \(p\)-adic wavelets and representation theory, An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators, \(p\)-adic orthogonal wavelet bases, \(p\)-adic multiwavelet sets, Haar multiresolution analysis and Haar bases on the ring of rational adeles, Fast discrete Fourier transform on local fields of zero characteristic, Wavelets on compact abelian groups, Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift, Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations, \(p\)-adic nonorthogonal wavelet bases, Multidimensional ultrametric pseudodifferential equations, Unnamed Item



Cites Work