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Author : J. van de Lune
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to Tauberian Theory written by J. van de Lune and published by . This book was released on 1986 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob Korevaar
Publisher : Springer Science & Business Media
ISBN 13 : 3662102250
Total Pages : 497 pages
Book Rating : 4.6/5 (621 download)
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.
Author : Alekseĭ Georgievich Postnikov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830482
Total Pages : 150 pages
Book Rating : 4.8/5 (34 download)
Download or read book Tauberian Theory and Its Applications written by Alekseĭ Georgievich Postnikov and published by American Mathematical Soc.. This book was released on 1980 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 0080873553
Total Pages : 272 pages
Book Rating : 4.0/5 (88 download)
Download or read book An Introduction to Transform Theory written by and published by Academic Press. This book was released on 1971-09-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Transform Theory
Author : Jacob Korevaar
Publisher : Springer Science & Business Media
ISBN 13 : 9783540210580
Total Pages : 512 pages
Book Rating : 4.2/5 (15 download)
Download or read book Tauberian Theory written by Jacob Korevaar and published by Springer Science & Business Media. This book was released on 2004-05-26 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ants Aasma
Publisher : John Wiley & Sons
ISBN 13 : 1119397731
Total Pages : 220 pages
Book Rating : 4.1/5 (193 download)
Download or read book An Introductory Course in Summability Theory written by Ants Aasma and published by John Wiley & Sons. This book was released on 2017-04-03 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesàro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. • Discusses results on matrix transforms of several matrix methods • The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory • Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods • Matrix transforms of summability domains of regular perfect matrix methods are examined • Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.
Author : Tord H. Ganelius
Publisher : Springer
ISBN 13 : 3540369791
Total Pages : 81 pages
Book Rating : 4.5/5 (43 download)
Download or read book Tauberian Remainder Theorems written by Tord H. Ganelius and published by Springer. This book was released on 2006-11-15 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (933 download)
Download or read book Wiener's General Tauberian Theory written by and published by . This book was released on 1960 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. J. Bureau
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.3/5 (91 download)
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:
Author : V.S. Vladimirov
Publisher : Springer Science & Business Media
ISBN 13 : 9400928319
Total Pages : 308 pages
Book Rating : 4.4/5 (9 download)
Download or read book Tauberian Theorems for Generalized Functions written by V.S. Vladimirov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 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.
Author : V.S. Vladimirov
Publisher : Springer
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tauberian Theorems for Generalized Functions written by V.S. Vladimirov and published by Springer. This book was released on 1988-04-30 with total page 320 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.
Author : Manuel González
Publisher : Springer Science & Business Media
ISBN 13 : 3764389982
Total Pages : 253 pages
Book Rating : 4.7/5 (643 download)
Download or read book Tauberian Operators written by Manuel González and published by Springer Science & Business Media. This book was released on 2010-01-09 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a complete exposition of the theory of tauberian operators. It describes the origins of the subject in the study of summability of series, and it covers the most recent advances, emphasizing its applications to Banach space theory.
Author : K. B. Laursen
Publisher : Oxford University Press
ISBN 13 : 9780198523819
Total Pages : 610 pages
Book Rating : 4.5/5 (238 download)
Download or read book An Introduction to Local Spectral Theory written by K. B. Laursen and published by Oxford University Press. This book was released on 2000 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
Author : Wolfgang Arendt
Publisher : Springer Science & Business Media
ISBN 13 : 3034850751
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)
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>. .
Author : Ants Aasma
Publisher : John Wiley & Sons
ISBN 13 : 1119397693
Total Pages : 216 pages
Book Rating : 4.1/5 (193 download)
Download or read book An Introductory Course in Summability Theory written by Ants Aasma and published by John Wiley & Sons. This book was released on 2017-04-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesàro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. • Discusses results on matrix transforms of several matrix methods • The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory • Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods • Matrix transforms of summability domains of regular perfect matrix methods are examined • Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.
Author : Hugh L. Montgomery
Publisher : Cambridge University Press
ISBN 13 : 9780521849036
Total Pages : 574 pages
Book Rating : 4.8/5 (49 download)
Download or read book Multiplicative Number Theory I written by Hugh L. Montgomery and published by Cambridge University Press. This book was released on 2007 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Author : William T. Ross
Publisher : American Mathematical Soc.
ISBN 13 : 0821831755
Total Pages : 165 pages
Book Rating : 4.8/5 (218 download)
Download or read book Generalized Analytic Continuation written by William T. Ross and published by American Mathematical Soc.. This book was released on 2002 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The authors use the strong analogy with the summability of divergent series to motivate the subject. They are careful to cover the various types of continuations, attempting to unify them and suggesting some open questions. The book also addresses the role of such continuations in approximation theory and operator theory. The introductory overview provides a useful look at the history and context of the theory.
