Tauberian Theory PDF Download
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Author | : Alekseĭ Georgievich Postnikov |
Publisher | : American Mathematical Soc. |
Total Pages | : 150 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : 9780821830482 |
Download Tauberian Theory and Its Applications Book in PDF, ePub and Kindle
Author | : Jacob Korevaar |
Publisher | : Springer Science & Business Media |
Total Pages | : 512 |
Release | : 2004-05-26 |
Genre | : Mathematics |
ISBN | : 9783540210580 |
Download Tauberian Theory Book in PDF, ePub and Kindle
This book traces the development of Tauberian theory, evoking the excitement surrounding the early results. The author describes the fascination of the difficult Hardy-Littlewood theorems, and offers a new unified theory for Borel and "circle" methods.
Author | : Jacob Korevaar |
Publisher | : Springer Science & Business Media |
Total Pages | : 497 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662102250 |
Download Tauberian Theory Book in PDF, ePub and Kindle
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.
Author | : V.S. Vladimirov |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400928319 |
Download Tauberian Theorems for Generalized Functions Book in PDF, ePub and Kindle
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.
Author | : J. van de Lune |
Publisher | : |
Total Pages | : 120 |
Release | : 1986 |
Genre | : Fourier transformations |
ISBN | : |
Download An Introduction to Tauberian Theory Book in PDF, ePub and Kindle
Author | : S. A. Mohiuddine |
Publisher | : Springer |
Total Pages | : 241 |
Release | : 2018-12-30 |
Genre | : Mathematics |
ISBN | : 9811330778 |
Download Advances in Summability and Approximation Theory Book in PDF, ePub and Kindle
This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and in other branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.
Author | : Hugh L. Montgomery |
Publisher | : Cambridge University Press |
Total Pages | : 574 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9780521849036 |
Download Multiplicative Number Theory I Book in PDF, ePub and Kindle
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Author | : Vasiliĭ Sergeevich Vladimirov |
Publisher | : American Mathematical Soc. |
Total Pages | : 270 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 9780821831199 |
Download Theoretical and Mathematical Physics Book in PDF, ePub and Kindle
Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 340 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 9780821830901 |
Download International Conference on Analytic Methods in Number Theory and Analysis, Moscow, 14-19 September 1981 Book in PDF, ePub and Kindle
This collection consists of papers delivered at an international conference by the most eminent specialists in the domains of number theory, algebra, and analysis. The papers are devoted to actual problems in these domains of mathematics. In addition, short communications presented by participants in the conference are included.
Author | : Barry Simon |
Publisher | : American Mathematical Soc. |
Total Pages | : 769 |
Release | : 2015-12-04 |
Genre | : Mathematics |
ISBN | : 1470411032 |
Download Operator Theory Book in PDF, ePub and Kindle
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.