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Tauberian Theory And Its Applications


Tauberian Theory And Its Applications
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Tauberian Theory And Its Applications


Tauberian Theory And Its Applications
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Author : Alekseĭ Georgievich Postnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1980

Tauberian Theory And Its Applications written by Alekseĭ Georgievich Postnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.




Tauberian Theory


Tauberian Theory
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Author : Jacob Korevaar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Tauberian Theory written by Jacob Korevaar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


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.



Stochastic Processes Basic Theory And Its Applications


Stochastic Processes Basic Theory And Its Applications
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Author : Narahari U Prabhu
language : en
Publisher: World Scientific Publishing Company
Release Date : 2007-10-02

Stochastic Processes Basic Theory And Its Applications written by Narahari U Prabhu and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-02 with Mathematics categories.


Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory and random walks deal inadequately with their applications. Written in a simple and accessible manner, this book addresses that inadequacy and provides guidelines and tools to study the applications. The coverage includes research developments in Markov property, martingales, regenerative phenomena and Tauberian theorems, and covers measure theory at an elementary level.



Tauberian Theory And Its Applications


Tauberian Theory And Its Applications
DOWNLOAD
Author : Alekseĭ Georgievich Postnikov
language : en
Publisher:
Release Date : 1980

Tauberian Theory And Its Applications written by Alekseĭ Georgievich Postnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.




Discrete Spectral Synthesis And Its Applications


Discrete Spectral Synthesis And Its Applications
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Author : László Székelyhidi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-25

Discrete Spectral Synthesis And Its Applications written by László Székelyhidi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-25 with Mathematics categories.


This book studies the situation over discrete Abelian groups with wide range applications. It covers classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups, giving unified treatment of several different problems. There is no other comprehensive work in this field. The book will be of interest to graduate students, research workers in harmonic analysis, spectral analysis, functional equations and hypergroups.



Automorphic Forms And Related Topics


Automorphic Forms And Related Topics
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Author : Samuele Anni
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-06-19

Automorphic Forms And Related Topics written by Samuele Anni and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-19 with Mathematics categories.


This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop. These articles address various aspects of the theory of automorphic forms and its relations with the theory of L-functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.



Theoretical And Mathematical Physics


Theoretical And Mathematical Physics
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Author : Vasiliĭ Sergeevich Vladimirov
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Theoretical And Mathematical Physics written by Vasiliĭ Sergeevich Vladimirov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Set Theory And Its Applications


Set Theory And Its Applications
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Author : Liljana Babinkostova
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Set Theory And Its Applications written by Liljana Babinkostova and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.



Sources In The Development Of Mathematics


Sources In The Development Of Mathematics
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Author : Ranjan Roy
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-13

Sources In The Development Of Mathematics written by Ranjan Roy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-13 with Mathematics categories.


The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.



The Fourier Integral And Certain Of Its Applications


The Fourier Integral And Certain Of Its Applications
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Author : Norbert Wiener
language : en
Publisher: CUP Archive
Release Date : 1988-11-17

The Fourier Integral And Certain Of Its Applications written by Norbert Wiener and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-17 with Mathematics categories.


The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from the presence of an application of the theory to the prime number theorems of Hadamard and de la Vallee Poussin. Both pure and applied mathematicians will welcome the reissue of this classic work. For this reissue, Professor Kahane's Foreword briefly describes the genesis of Wiener's work and its later significance to harmonic analysis and Brownian motion.