Non-linear singular problems in $ p$-adic analysis: associative algebras of $ p$-adic distributions

DOI10.1070/IM2005v069n02ABEH000529zbMath1096.46041OpenAlexW2057906839MaRDI QIDQ5693969

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

Publication date: 28 September 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2005v069n02abeh000529

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

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Stochastic Processes on Ends of Tree and Dirichlet Forms ⋮ In memoriam: Vladimir M. Shelkovich (1949--2013) ⋮ Toward an ultrametric theory of turbulence ⋮ Asymptotical behavior of one class of \(p\)-adic singular Fourier integrals

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