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Book synopsis

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.

Book details

Book category Książki po angielsku Mathematics & science Science: general issues Maths for scientists

• Full title: p-Adic Valued Distributions in Mathematical Physics
• Author: A. Khrennikov
• Language: English
• Binding: Hardback
• Number of pages: 264
• EAN: 9780792331728
• ISBN: 0792331729
• ID: 01394579
• Publisher: Springer
• Weight: 1270 g
• Dimensions: 234 × 156 × 20 mm
• Date of publishing: 31. October 1994

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