1st Edition

Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields



ISBN 9780824706555
Published August 3, 2001 by CRC Press
336 Pages

 
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Book Description

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.

Table of Contents

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

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Author(s)

Biography

Kochubei\, Anatoly