Monographs and textbooks in pure and applied mathematics ;
244
Includes bibliographical references (pages 303-313) and index.
"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."--Jacket.