Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations

DOI10.1016/j.acha.2009.05.007zbMath1184.46066arXiv0808.3338OpenAlexW2963103307MaRDI QIDQ1045706

Vladimir Shelkovich, Andrei Yu. Khrennikov

Publication date: 15 December 2009

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3338

zbMATH Keywords

fractional operators\(p\)-adic compactly supported wavelet bases\(p\)-adic Lizorkin spaces\(p\)-adic pseudo-differential equations\(p\)-adic pseudo-differential operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

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