Geodesic
Functional Laplace operator on a $\mathfrak p$"=adic space and Feynman–Kac and Feynman formulas
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 251-259 Cet article a éte moissonné depuis la source Math-Net.Ru

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Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of) infinite dimensional Laplacian and acting in Banach spaces of complex-valued functions defined on function spaces over a field of $\mathfrak p$-adic numbers. For elements of semigroups, for which these PDOs are generators, Feynman formulas and Feynman–Kac ones are obtained.
Keywords: Feynman–Kac formulas, Feynman formulas, functional Laplacian, $p$-adic analysis. 
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N. N. Shamarov. Functional Laplace operator on a $\mathfrak p$"=adic space and Feynman–Kac and Feynman formulas. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 251-259. http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a30/

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