This book is devoted to the study of non-Archimedean, and especially p-adic
mathematical physics. Basic questions about the nature and possible
applications of such a theory are investigated. Interesting physical models are
developed like the p-adic universe, where distances can be infinitely large p-
adic numbers, energies and momentums. Two types of measurement algorithms are
shown to exist, one generating real values and one generating p-adic values.
The mathematical basis for the theory is a well developed non-Archimedean
analysis, and subjects that are treated include non-Archimedean valued
distributions using analytic test functions, Gaussian and Feynman non-
Archimedean distributions with applications to quantum field theory,
differential and pseudo-differential equations, infinite-dimensional non-
Archimedean analysis, and p-adic valued theory of probability and statistics.
This volume will appeal to a wide range of researchers and students whose work
involves mathematical physics, functional analysis, number theory, probability
theory, stochastics, statistical physics or thermodynamics.
