Feynman and Feynman-Kac formulas for evolution equations with Vladimirov operator (Q954188)

In the present study the authors obtain Feynman and Feynman-Kac formulas for solutions to the Cauchy problems for the heat equation with respect to complex-valued functions on the product of the real half-line and \(p\)-adic line \(\mathbb{Q}_p\); the role of the Laplace operator in these equations is played by the Vladimirov operator.