ABSTRACT

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 equat

chapter Chapter 1|33 pages

Preliminaries

chapter Chapter 2|56 pages

Fundamental Solutions

chapter Chapter 3|41 pages

Spectral Theory

chapter Chapter 4|59 pages

Parabolic Equations

chapter Chapter 5|51 pages

Construction of Processes

chapter Chapter 6|42 pages

Analysis over Infinite Extensions of a Local Field

chapter Chapter 7|16 pages

Processes with Non-Archimedean Time Parameters