Non-Archimedean radial calculus: Volterra operator and Laplace transform

DOI10.1007/s00020-020-02604-6OpenAlexW3092218184MaRDI QIDQ2227244

Anatoly N. Kochubei

Publication date: 15 February 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11166

zbMATH Keywords

Laplace transformVolterra operatornon-Archimedean local fieldfractional differentiation operatorradial functions

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Integral operators (47G10) Other transforms and operators of Fourier type (43A32) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (4)

\(L^p\) properties of non-Archimedean fractional differentiation operators ⋮ A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\) ⋮ The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity ⋮ Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument

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• Isotropic Markov semigroups on ultra-metric spaces
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