Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas

Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of semigroups, for which these PDOs are generato...

Full description

Bibliographic Details
Main Author: Nikolaj N Shamarov
Format: Article
Language:English
Published: Samara State Technical University 2011-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/21045/17303