Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

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.

List 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

Kochubei\, Anatoly

Summary

This book covers the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics. It is intended primarily for people interested in analysis, partial differential equations, and stochastic processes.

Product details

• Authors: Anatoly Kochubei, Anatoly N. Kochubei
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 03.08.2001
• EAN: 9780824706555
• ISBN: 978-0-8247-0655-5
• No. of pages: 336
• Weight: 544 g
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Differential Equations / General, MATHEMATICS / Algebra / General, MATHEMATICS / Differential Equations / Ordinary, Differential calculus & equations, Differential calculus and equations