p-Adic Valued Distributions in Mathematical Physics

By:

Andrei Y. Khrennikov

Format:

Paperback / softback

Series:

Mathematics and its Applications

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Description

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.

Release date NZ

December 3rd, 2010

Author

Andrei Y. Khrennikov

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1994

Illustrations

XVI, 264 p.

Pages

264

Series

Mathematics and its Applications

Dimensions

156x234x15

ISBN-13

9789048144761

Product ID

11078113

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