Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators

DOI10.1007/s11868-019-00293-3zbMath1505.47052OpenAlexW2938628883WikidataQ128083953 ScholiaQ128083953MaRDI QIDQ2174861

Ismael Gutiérrez-García, Anselmo Torresblanca-Badillo

Publication date: 27 April 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-019-00293-3

zbMATH Keywords

convolution semigroupFeller semigroupspseudo-differential operatorsnegative definite functionnon-Archimedean analysisMarkov transition function

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Pseudodifferential operators (47G30) Jump processes on general state spaces (60J76)

Related Items

On some generalizations of non-Archimedean pseudo-differential operators and their applications ⋮ Some further classes of pseudo-differential operators in the \(p\)-adic context and their applications ⋮ The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity ⋮ New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the \(p\)-adic numbers ⋮ New classes of \(p\)-adic evolution equations and their applications ⋮ Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions ⋮ Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators

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