Feynman and Feynman-Kac formulas for evolution equations with Vladimirov operator

DOI10.1134/S1064562408030071zbMath1185.35351OpenAlexW2082097152MaRDI QIDQ954188

N. N. Shamarov, O. G. Smolyanov

Publication date: 10 November 2008

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

Full work available at URL: https://doi.org/10.1134/s1064562408030071

zbMATH Keywords

Feynman-Kac formulasVladimirov operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (8)

The Method of Chernoff Approximation ⋮ LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS ⋮ On \(p\)-adic mathematical physics ⋮ Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions ⋮ Equivalence of two definitions of a chronological integral ⋮ Representation of solutions to evolution equations with Vladimirov operator in terms of Feynman path integrals ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations ⋮ Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization

Cites Work

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• Path integrals for a class of \(p\)-adic Schrödinger equations
• Hamiltonian Feynman path integrals via the Chernoff formula

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