Theory Of P Adic Distributions

Author : S. Albeverio
Publisher : Cambridge University Press
ISBN 13 : 0521148561
Total Pages : 369 pages
Book Rating : 4.66/5 ( download)

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Download or read book Theory of P-adic Distributions written by S. Albeverio and published by Cambridge University Press. This book was released on 2010-03-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

Author : Sergio Albeverio
Publisher :
ISBN 13 : 9781139122856
Total Pages : 351 pages
Book Rating : 4.51/5 ( download)

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Download or read book Theory of P-adic Distributions written by Sergio Albeverio and published by . This book was released on 2010 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging survey of new and important topics in p-adic analysis for researchers and graduate students.

Author : Sergio Albeverio
Publisher :
ISBN 13 : 9781139127776
Total Pages : 368 pages
Book Rating : 4.72/5 ( download)

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Download or read book Theory of P-Adic Distributions written by Sergio Albeverio and published by . This book was released on 2014-05-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401583560
Total Pages : 271 pages
Book Rating : 4.65/5 ( download)

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Download or read book p-Adic Valued Distributions in Mathematical Physics written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers ... , natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic numbers were considered as an exotic part of pure mathematics without any application. I have also used only real and complex numbers in my investigations in functional analysis and its applications to the quantum field theory and I was sure that these number fields can be a basis of every physical model generated by nature. But recently new models of the quantum physics were proposed on the basis of p-adic numbers field Qp. What are p-adic numbers, p-adic analysis, p-adic physics, p-adic probability? p-adic numbers were introduced by K. Hensel (1904) in connection with problems of the pure theory of numbers. The construction of Qp is very similar to the construction of (p is a fixed prime number, p = 2,3,5, ... ,127, ... ). Both these number fields are completions of the field of rational numbers Q. But another valuation 1 . Ip is introduced on Q instead of the usual real valuation 1 . I· We get an infinite sequence of non isomorphic completions of Q : Q2, Q3, ... , Q127, ... , IR = Qoo· These fields are the only possibilities to com plete Q according to the famous theorem of Ostrowsky.

Author : Vasili? Sergeevich Vladimirov
Publisher : World Scientific
ISBN 13 : 9789810208806
Total Pages : 350 pages
Book Rating : 4.04/5 ( download)

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Download or read book P-adic Analysis and Mathematical Physics written by Vasili? Sergeevich Vladimirov and published by World Scientific. This book was released on 1994 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.

Author : Alain Escassut
Publisher : World Scientific
ISBN 13 : 9814730114
Total Pages : 559 pages
Book Rating : 4.12/5 ( download)

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Download or read book Value Distribution in P-Adic Analysis written by Alain Escassut and published by World Scientific. This book was released on 2015-11-27 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation."--

Author : Nguyen Minh Chuong
Publisher : Springer
ISBN 13 : 3319774735
Total Pages : 368 pages
Book Rating : 4.32/5 ( download)

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Download or read book Pseudodifferential Operators and Wavelets over Real and p-adic Fields written by Nguyen Minh Chuong and published by Springer. This book was released on 2018-11-28 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.

Author : Claire C. Ralph
Publisher : Cambridge University Press
ISBN 13 : 110767414X
Total Pages : 146 pages
Book Rating : 4.41/5 ( download)

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Download or read book Arithmetic Differential Operators Over the P-adic Integers written by Claire C. Ralph and published by Cambridge University Press. This book was released on 2012-01-26 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This complete introduction to the study of arithmetic differential operators over the p-adic integers offers graduate students and researchers an accessible guide to this novel and promising area of mathematics. It starts with the basics and is accessible to anyone with a basic grasp of algebraic number theory.

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 1402026609
Total Pages : 279 pages
Book Rating : 4.07/5 ( download)

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Download or read book P-adic Deterministic and Random Dynamics written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.

Author : Andrei Y. Khrennikov
Publisher :
ISBN 13 : 9789401583572
Total Pages : 284 pages
Book Rating : 4.79/5 ( download)

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Download or read book P-Adic Valued Distributions in Mathematical Physics written by Andrei Y. Khrennikov and published by . This book was released on 2014-01-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: