Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields: 1st Edition (Hardback) book cover

Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

1st Edition

By Anatoly Kochubei

CRC Press

336 pages

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Hardback: 9780824706555
pub: 2001-08-03
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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

About the Author/Editors

Kochubei\, Anatoly

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations