Pseudo-differential equations and stochastics over non-Archimedean fields

By Anatoly N. Kochubei

Subjects: Stochastic partial differential equations, MATHEMATICS, Mathematical physics, Analyse stochastique, Differential Equations, Physique mathématique, Partial Differential equations, Équations aux dérivées partielles stochastiques, Partial, Differential equations, partial, Stochastic analysis, Équations aux dérivées partielles

Description: "This reference provides coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics - offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures.". "Pseudo-Differential Equations and Stochastics over Non-Archimedean Fields examines elliptic and hyperbolic equations associated with p-adic quadratic forms ... Green functions and their asymptotics ... the Cauchy problem for the p-adic Schrodinger equation ... spectral theory ... Fourier transform, fractional differentiation operators, and analogs of the symmetric stable process ... and more."--BOOK JACKET.