1st Edition
Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields
By Anatoly Kochubei
Copyright 2001
336 Pages
by
CRC Press
336 Pages
by
CRC Press
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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.
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
Biography
Kochubei\, Anatoly