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P-Adic Valued Distributions In Mathematical Physics Book

P-Adic Valued Distributions In Mathematical Physics
P-Adic Valued Distributions In Mathematical Physics, , P-Adic Valued Distributions In Mathematical Physics has a rating of 3 stars
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  • P-Adic Valued Distributions In Mathematical Physics
  • Written by author Andrei Khrennikov
  • Published by Springer-Verlag New York, LLC, October 1994
  • 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 unive
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Introduction
IFirst Steps to Non-Archimedean1
IIThe Gauss, Lebesgue and Feynman Distributions Over Non-Archimedean Fields31
IIIThe Gauss and Feynman Distributions on Infinite-Dimensional Spaces over Non-Archimedean Fields65
IVQuantum Mechanics for Non-Archimedean Wave Functions85
VFunctional Integrals and the Quantization of Non-Archimedean Models with an Infinite Number of Degrees of Freedom107
VIThe p-Adic-Valued Probability Measures115
VIIStatistical Stabilization with Respect to p-adic and Real Metrics161
VIIIThe p-adic Valued Probability Distributions (Generalized Functions)193
IXp-Adic Superanalysis215
Bibliographical Remarks235
Open Problems239
App. 1. Expansion of Numbers in a Given Scale241
App. 2. An Analogue of Newton's Method244
App. 3. Non-Existence of Differential Maps from Q[subscript p] to R246
Bibliography249
Index263


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