Pseudo-Differential Equations and Stochastics Over Non-Archimedean Fields

ISBN-13: 9780824706555 / Angielski / Twarda / 2001 / 336 str.

Anatoly N. Kochubei; Kochubei Kochubei

Opis

Provides comprehensive 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. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.

Spis treści

1. Preliminaries 2. Fundamental Solutions 3. Spectral Theory 4. Parabolic Equations 5. Construction of Processes 6. Analysis over Infinite Extensions of a Local Field 7. Processes with Non-Archimedean Time Parameters

O autorze

Kochubei\, Anatoly