p-Adic Valued Distributions in Mathematical Physics (Mathematics and Its Applications (closed)) [Hardcover]

Andrei Y. Khrennikov (Author)

Book Description

Publication Date: October 31, 1994 | ISBN-10: 0792331729 | ISBN-13: 978-0792331728 | Edition: 1

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.

Product Details

• Hardcover: 284 pages
• Publisher: Springer; 1 edition (October 31, 1994)
• Language: English
• ISBN-10: 0792331729
• ISBN-13: 978-0792331728
• Product Dimensions: 9.3 x 6.3 x 1 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #6,392,053 in Books (See Top 100 in Books)

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