Edición de la obra p-Adic Valued Distributions in Mathematical Physics
| Autor | Andrei Khrennikov |
|---|---|
| Editorial | Springer Netherlands |
| Fecha de publicación | 1994 |
| Lugar | Dordrecht |
| Idioma | inglés |
| Páginas | 264 |
| Formato | [electronic resource] / |
| ISBN-13 | 9789048144761, 9789401583565 |
| ISBN-10 | 9048144760, 9401583560 |
| OCLC | 851392141 |
| Serie | Mathematics and Its Applications -- 309 · Mathematics and Its Applications -- 309 |
| Número de Cutter | K45p |
|---|
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.