Функциональный оператор Лапласса на $\mathfrak p$-адическом пространстве и формулы Фейнмана и Фейнмана - Каца

DOI10.14498/vsgtu935zbMath1463.47136OpenAlexW2312603971MaRDI QIDQ4959820

N. N. Shamarov

Publication date: 7 April 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu935

zbMATH Keywords

Feynman-Kac formulasFeynman formulas\(p\)-adic analysisfunctional Laplacian

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Linear differential equations in abstract spaces (34G10) (p)-adic and power series fields (11D88)

Related Items (1)

Infinite-dimensional evolution equations and the representation of their solutions in the form of Feynman integrals

Cites Work

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• Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds
• Feynman-Kac and Feynman formulas for infinite-dimensional equations with Vladimirov operator
• Feynman formulas and path integrals for evolution equations with the Vladimirov operator
• FEYNMAN FORMULAS FOR AN INFINITE-DIMENSIONAL 𝔭-ADIC HEAT TYPE EQUATION

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