An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators

DOI10.1134/S2070046609030030zbMath1187.42034OpenAlexW2044185092MaRDI QIDQ974445

Andrei Yu. Khrennikov, Vladimir Shelkovich

Publication date: 3 June 2010

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046609030030

zbMATH Keywords

fractional operator\(p\)-adic pseudo-differential operator\(p\)-adic compactly supported wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (13)

\(p\)-adic mathematical physics: the first 30 years ⋮ Wavelet packets and wavelet frame packets on local fields of positive characteristic ⋮ \(p\)-adic multiresolution analysis and wavelet frames ⋮ \(p\)-adic integral operators in wavelet bases ⋮ Haar system on a product of zero-dimensional compact groups ⋮ \(p\)-adic wavelets and their applications ⋮ ON THE CHARACTERIZATION OF SCALING FUNCTIONS ON NON-ARCHEMEDEAN FIELDS ⋮ Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\) ⋮ \(p\)-adic multiwavelet sets ⋮ Frames associated with shift invariant spaces on positive half line ⋮ Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\) ⋮ Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic ⋮ On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\)

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