FEYNMAN FORMULAS FOR AN INFINITE-DIMENSIONAL 𝔭-ADIC HEAT TYPE EQUATION

DOI10.1142/S021902571100433XzbMath1220.35185MaRDI QIDQ2996897

Olga Beloshapka

Publication date: 4 May 2011

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemFeynman formulas\(\mathfrak p\)-adic variablesinfinite-dimensional PDE

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) (p)-adic and power series fields (11D88)

Related Items

Parabolic type equations and Markov stochastic processes on adeles, Функциональный оператор Лапласса на $\mathfrak p$-адическом пространстве и формулы Фейнмана и Фейнмана - Каца

Cites Work

• Feynman formulas for the Schrödinger equations with the Vladimirov operator
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
• Hamiltonian Feynman path integrals via the Chernoff formula
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