Pseudo-differential equations and stochastics over non-Archimedean fields
By: Anatoly N. Kochubei.
Series: Monographs and textbooks in pure and applied mathematics ;; 244
Publisher: Marcel Dekker
Published: 2001
Place of publication: New York
Language: eng
Number of pages: 316
Subjects: Stochastic analysis.; Stochastic partial differential equations.; Differential equations, Partial.; Mathematical physics.
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.
Notes: Includes bibliographical references (p. 303-313) and index.