Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems

DOI10.1007/s00041-006-6014-0zbMath1110.46049arXivmath-ph/0512055OpenAlexW2126149609MaRDI QIDQ2509099

Andrei Yu. Khrennikov, Vladimir Shelkovich, Sergio A. Albeverio

Publication date: 16 October 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0512055

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Tauberian theorems (40E05) Pseudodifferential operators (47G30)

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