Tauberian Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662102250
Total Pages : 497 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Tauberian Theory by : Jacob Korevaar

Download or read book Tauberian Theory written by Jacob Korevaar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.

Tauberian Theorems for Generalized Functions

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Publisher : Springer
ISBN 13 : 9789401077743
Total Pages : 293 pages
Book Rating : 4.0/5 (777 download)

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Book Synopsis Tauberian Theorems for Generalized Functions by : V.S. Vladimirov

Download or read book Tauberian Theorems for Generalized Functions written by V.S. Vladimirov and published by Springer. This book was released on 2011-10-02 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. The Scandal of Father G. K. Chesterton. 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Theoretical and Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821831199
Total Pages : 270 pages
Book Rating : 4.8/5 (311 download)

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Book Synopsis Theoretical and Mathematical Physics by : Vasiliĭ Sergeevich Vladimirov

Download or read book Theoretical and Mathematical Physics written by Vasiliĭ Sergeevich Vladimirov and published by American Mathematical Soc.. This book was released on 1988 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariant Random Fields on Spaces with a Group Action

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Publisher : Springer Science & Business Media
ISBN 13 : 3642334059
Total Pages : 271 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Invariant Random Fields on Spaces with a Group Action by : Anatoliy Malyarenko

Download or read book Invariant Random Fields on Spaces with a Group Action written by Anatoliy Malyarenko and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

A Tauberian Theorem

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Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Tauberian Theorem by : F. J. Bureau

Download or read book A Tauberian Theorem written by F. J. Bureau and published by . This book was released on 1960 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regular Variation

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Publisher : Cambridge University Press
ISBN 13 : 9780521379434
Total Pages : 518 pages
Book Rating : 4.3/5 (794 download)

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Book Synopsis Regular Variation by : N. H. Bingham

Download or read book Regular Variation written by N. H. Bingham and published by Cambridge University Press. This book was released on 1989-06-15 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory and applications of regular variation.

Commutative Harmonic Analysis II

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Publisher : Springer Science & Business Media
ISBN 13 : 3642589464
Total Pages : 335 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Commutative Harmonic Analysis II by : V.P. Havin

Download or read book Commutative Harmonic Analysis II written by V.P. Havin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.

Vector-valued Laplace Transforms and Cauchy Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3034850751
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Vector-valued Laplace Transforms and Cauchy Problems by : Wolfgang Arendt

Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .

Harmonic Analysis and Applications

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Publisher : CRC Press
ISBN 13 : 1000142213
Total Pages : 370 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Harmonic Analysis and Applications by : John J. Benedetto

Download or read book Harmonic Analysis and Applications written by John J. Benedetto and published by CRC Press. This book was released on 2020-12-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.

Introduction to Analytic and Probabilistic Number Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521412612
Total Pages : 180 pages
Book Rating : 4.4/5 (126 download)

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Book Synopsis Introduction to Analytic and Probabilistic Number Theory by : G. Tenenbaum

Download or read book Introduction to Analytic and Probabilistic Number Theory written by G. Tenenbaum and published by Cambridge University Press. This book was released on 1995-06-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to analytic methods in number theory, assuming on the part of the reader only what is typically learned in a standard undergraduate degree course. It offers to students and those beginning research a systematic and consistent account of the subject but will also be a convenient resource and reference for more experienced mathematicians. These aspects are aided by the inclusion at the end of each chapter a section of bibliographic notes and detailed exercises.

Generalized Harmonic Analysis and Tauberian Theorems

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Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Generalized Harmonic Analysis and Tauberian Theorems by : Norbert Wiener

Download or read book Generalized Harmonic Analysis and Tauberian Theorems written by Norbert Wiener and published by . This book was released on 1966 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis and Dynamical Systems II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837095
Total Pages : 456 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Analysis and Dynamical Systems II by : Lawrence Allen Zalcman

Download or read book Complex Analysis and Dynamical Systems II written by Lawrence Allen Zalcman and published by American Mathematical Soc.. This book was released on 2005 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.

Quantum Field Theory I: Basics in Mathematics and Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 354034764X
Total Pages : 1060 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Field Theory I: Basics in Mathematics and Physics by : Eberhard Zeidler

Download or read book Quantum Field Theory I: Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Theoretical and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Theoretical and Mathematical Physics by :

Download or read book Theoretical and Mathematical Physics written by and published by . This book was released on 1980 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis and Applications

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Publisher : John Wiley & Sons
ISBN 13 : 111941430X
Total Pages : 767 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Analysis and Applications by : Michael Ruzhansky

Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-04-05 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Probability Measures on Groups IX

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Publisher : Springer
ISBN 13 : 3540462066
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Probability Measures on Groups IX by : Herbert Heyer

Download or read book Probability Measures on Groups IX written by Herbert Heyer and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers.

The Art of Finding Hidden Risks

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Publisher : Springer Nature
ISBN 13 : 3031575997
Total Pages : 272 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis The Art of Finding Hidden Risks by : Sidney Resnick

Download or read book The Art of Finding Hidden Risks written by Sidney Resnick and published by Springer Nature. This book was released on with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: