p-adic Functional Analysis

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Publisher : CRC Press
ISBN 13 : 1000110060
Total Pages : 416 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Functional Analysis by : W.H. Schikhof

Download or read book p-adic Functional Analysis written by W.H. Schikhof and published by CRC Press. This book was released on 2020-11-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."

A Course in p-adic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1475732546
Total Pages : 451 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Course in p-adic Analysis by : Alain M. Robert

Download or read book A Course in p-adic Analysis written by Alain M. Robert and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel’s functional equation lemma, and a treatment of analytic elements.

p-adic Functional Analysis

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Publisher : CRC Press
ISBN 13 : 9780824782542
Total Pages : 350 pages
Book Rating : 4.7/5 (825 download)

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Book Synopsis p-adic Functional Analysis by : N. De Grande-De Kimpe

Download or read book p-adic Functional Analysis written by N. De Grande-De Kimpe and published by CRC Press. This book was released on 1999-07-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.

p-adic Function Analysis

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Author :
Publisher : CRC Press
ISBN 13 : 1000111075
Total Pages : 253 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Function Analysis by : Bayod

Download or read book p-adic Function Analysis written by Bayod and published by CRC Press. This book was released on 2020-12-17 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

p-adic Numbers, p-adic Analysis, and Zeta-Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461211123
Total Pages : 163 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis p-adic Numbers, p-adic Analysis, and Zeta-Functions by : Neal Koblitz

Download or read book p-adic Numbers, p-adic Analysis, and Zeta-Functions written by Neal Koblitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.

p-Adic Lie Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 364221147X
Total Pages : 256 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis p-Adic Lie Groups by : Peter Schneider

Download or read book p-Adic Lie Groups written by Peter Schneider and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings.

p-adic Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 3662222787
Total Pages : 285 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis p-adic Numbers by : Fernando Q. Gouvea

Download or read book p-adic Numbers written by Fernando Q. Gouvea and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book.

Nonarchimedean Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3662047284
Total Pages : 159 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Nonarchimedean Functional Analysis by : Peter Schneider

Download or read book Nonarchimedean Functional Analysis written by Peter Schneider and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.

p-adic Analysis

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Publisher : Springer
ISBN 13 : 3540469060
Total Pages : 388 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis p-adic Analysis by : Francesco Baldassari

Download or read book p-adic Analysis written by Francesco Baldassari and published by Springer. This book was released on 2006-11-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

P-adic Analysis and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9789810208806
Total Pages : 350 pages
Book Rating : 4.2/5 (88 download)

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Book Synopsis P-adic Analysis and Mathematical Physics by : Vasili? Sergeevich Vladimirov

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.

p-Adic Valued Distributions in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401583560
Total Pages : 271 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis p-Adic Valued Distributions in Mathematical Physics by : Andrei Y. Khrennikov

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.

Introduction to $p$-adic Analytic Number Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847740
Total Pages : 149 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to $p$-adic Analytic Number Theory by : M. Ram Murty

Download or read book Introduction to $p$-adic Analytic Number Theory written by M. Ram Murty and published by American Mathematical Soc.. This book was released on 2009-02-09 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expert to the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.

p-adic Function Analysis

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Publisher : CRC Press
ISBN 13 : 1000154165
Total Pages : 256 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Function Analysis by : Jose M. Bayod

Download or read book p-adic Function Analysis written by Jose M. Bayod and published by CRC Press. This book was released on 2020-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

P-adic Deterministic and Random Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402026609
Total Pages : 270 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis P-adic Deterministic and Random Dynamics by : Andrei Y. Khrennikov

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 270 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.

P-Adic Functional Analysis

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Publisher :
ISBN 13 : 9789567069064
Total Pages : 179 pages
Book Rating : 4.0/5 (69 download)

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Book Synopsis P-Adic Functional Analysis by : Nicole De Grande De Kimpe

Download or read book P-Adic Functional Analysis written by Nicole De Grande De Kimpe and published by . This book was released on 1994 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic, Wavelet and P-Adic Analysis

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Publisher : World Scientific
ISBN 13 : 9812770704
Total Pages : 393 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Harmonic, Wavelet and P-Adic Analysis by : N. M. Chuong

Download or read book Harmonic, Wavelet and P-Adic Analysis written by N. M. Chuong and published by World Scientific. This book was released on 2007 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently. This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis.

Ultrametric Functional Analysis

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Publisher :
ISBN 13 : 9780821833209
Total Pages : 422 pages
Book Rating : 4.8/5 (332 download)

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Book Synopsis Ultrametric Functional Analysis by :

Download or read book Ultrametric Functional Analysis written by and published by . This book was released on 2003 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: