Cesaro Summability

Download Cesaro Summability full books in PDF, epub, and Kindle. Read online Cesaro Summability ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Tauberian Theory

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

DOWNLOAD NOW!

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.

Cesaro Summability

Author : Keith Eric Raskin
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Cesaro Summability by : Keith Eric Raskin

Download or read book Cesaro Summability written by Keith Eric Raskin and published by . This book was released on 1989 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Topics in Summability Theory and Applications

Author : Hemen Dutta
Publisher : Springer
ISBN 13 : 9811009139
Total Pages : 436 pages
Book Rating : 4.8/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Current Topics in Summability Theory and Applications by : Hemen Dutta

Download or read book Current Topics in Summability Theory and Applications written by Hemen Dutta and published by Springer. This book was released on 2016-04-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world.

Summability Theory and Its Applications

Author : Feyzi Başar
Publisher : CRC Press
ISBN 13 : 1000599140
Total Pages : 521 pages
Book Rating : 4.0/5 (5 download)

DOWNLOAD NOW!

Book Synopsis Summability Theory and Its Applications by : Feyzi Başar

Download or read book Summability Theory and Its Applications written by Feyzi Başar and published by CRC Press. This book was released on 2022-06-27 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject. This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7. Features Investigates different types of summable spaces and computes their dual Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Advanced Calculus

Author : David V. Widder
Publisher : Courier Corporation
ISBN 13 : 0486134660
Total Pages : 548 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Advanced Calculus by : David V. Widder

Download or read book Advanced Calculus written by David V. Widder and published by Courier Corporation. This book was released on 2012-05-23 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

Trigonometric Series

Author : Antoni Zygmund
Publisher : Cambridge University Press
ISBN 13 : 9780521890533
Total Pages : 784 pages
Book Rating : 4.8/5 (95 download)

DOWNLOAD NOW!

Book Synopsis Trigonometric Series by : Antoni Zygmund

Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 2002 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.

Summability of Multi-Dimensional Fourier Series and Hardy Spaces

Author : Ferenc Weisz
Publisher : Springer Science & Business Media
ISBN 13 : 9401731837
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)

DOWNLOAD NOW!

Book Synopsis Summability of Multi-Dimensional Fourier Series and Hardy Spaces by : Ferenc Weisz

Download or read book Summability of Multi-Dimensional Fourier Series and Hardy Spaces written by Ferenc Weisz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the basis of Burkholder's scientific achievements the mar tingale theory can perfectly well be applied in complex analysis and in the theory of classical Hardy spaces. This connection is the main point of Durrett's book [60]. The martingale theory can also be well applied in stochastics and mathematical finance. The theories of the one-parameter martingale and the classical Hardy spaces are discussed exhaustively in the literature (see Garsia [83], Neveu [138], Dellacherie and Meyer [54, 55], Long [124], Weisz [216] and Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205]). The theory of more-parameter martingales and martingale Hardy spaces is investigated in Imkeller [107] and Weisz [216]. This is the first mono graph which considers the theory of more-parameter classical Hardy spaces. The methods of proofs for one and several parameters are en tirely different; in most cases the theorems stated for several parameters are much more difficult to verify. The so-called atomic decomposition method that can be applied both in the one-and more-parameter cases, was considered for martingales by the author in [216].

Absolute Summability of Fourier Series and Orthogonal Series

Author : Y. Okuyama
Publisher : Springer
ISBN 13 : 3540389024
Total Pages : 125 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Absolute Summability of Fourier Series and Orthogonal Series by : Y. Okuyama

Download or read book Absolute Summability of Fourier Series and Orthogonal Series written by Y. Okuyama and published by Springer. This book was released on 2006-12-08 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ramsey Methods in Analysis

Author : Spiros A. Argyros
Publisher : Springer Science & Business Media
ISBN 13 : 3764373601
Total Pages : 258 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!

Book Synopsis Ramsey Methods in Analysis by : Spiros A. Argyros

Download or read book Ramsey Methods in Analysis written by Spiros A. Argyros and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains two sets of notes prepared for the Advanced Course on R- sey Methods in Analysis given at the Centre de Recerca Matem` atica in January 2004, as part of its year-long research programme on Set Theory and its Appli- tions. The common goal of the two sets of notes is to help young mathematicians enter a very active area of research lying on the borderline between analysis and combinatorics. The solution of the distortion problem for the Hilbert space, the unconditional basic sequence problem for Banach spaces, and the Banach ho- geneous space problem are samples of the most important recent advances in this area, and our two sets of notes will give some account of this. But our main goal was to try to expose the general principles and methods that lie hidden behind and are most likely useful for further developments. The goal of the ?rst set of notes is to describe a general method of building norms with desired properties, a method that is clearly relevant when testing any sort of intuition about the in?nite-dimensional geometry of Banach spaces. The goal of the second set of notes is to expose Ramsey-theoretic methods relevant for describing the rough structure present in this sort of geometry. We would like to thank the coordinator of the Advanced Course, Joan Ba- ria, and the director of the CRM, Manuel Castellet, for giving us this challenging but rewarding opportunity. Part A SaturatedandConditional StructuresinBanachSpaces SpirosA.

Real and Abstract Analysis

Author : A.Gupta
Publisher : Academic Publishers
ISBN 13 : 9788186358443
Total Pages : 182 pages
Book Rating : 4.3/5 (584 download)

DOWNLOAD NOW!

Book Synopsis Real and Abstract Analysis by : A.Gupta

Download or read book Real and Abstract Analysis written by A.Gupta and published by Academic Publishers. This book was released on 2000 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

University of Oregon Publication

Author : University of Oregon
Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.1/5 (36 download)

DOWNLOAD NOW!

Book Synopsis University of Oregon Publication by : University of Oregon

Download or read book University of Oregon Publication written by University of Oregon and published by . This book was released on 1923 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Analysis

Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 1400831237
Total Pages : 326 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Fourier Analysis by : Elias M. Stein

Download or read book Fourier Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2011-02-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Infinite Matrices of Operators

Author : I.J. Maddox
Publisher : Springer
ISBN 13 : 3540389466
Total Pages : 128 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Infinite Matrices of Operators by : I.J. Maddox

Download or read book Infinite Matrices of Operators written by I.J. Maddox and published by Springer. This book was released on 2006-11-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Divergence

Author : William Bray
Publisher : Springer Science & Business Media
ISBN 13 : 1461222362
Total Pages : 568 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Analysis of Divergence by : William Bray

Download or read book Analysis of Divergence written by William Bray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th International Workshop in Analysis and its Applications (IWAA) was held at the University of Maine, June 1-6, 1997 and featured approxi mately 60 mathematicians. The principal theme of the workshop shares the title of this volume and the latter is a direct outgrowth of the workshop. IWAA was founded in 1984 by Professor Caslav V. Stanojevic. The first meeting was held in the resort complex Kupuri, Yugoslavia, June 1-10, 1986, with two pilot meetings preceding. The Organization Committee to gether with the Advisory Committee (R. P. Boas, R. R. Goldberg, J. P. Kahne) set forward the format and content of future meetings. A certain number of papers were presented that later appeared individually in such journals as the Proceedings of the AMS, Bulletin of the AMS, Mathematis chen Annalen, and the Journal of Mathematical Analysis and its Applica tions. The second meeting took place June 1-10, 1987, at the same location. At the plenary session of this meeting it was decided that future meetings should have a principal theme. The theme for the third meeting (June 1- 10, 1989, Kupuri) was Karamata's Regular Variation. The principal theme for the fourth meeting (June 1-10, 1990, Kupuri) was Inner Product and Convexity Structures in Analysis, Mathematical Physics, and Economics. The fifth meeting was to have had the theme, Analysis and Foundations, organized in cooperation with Professor A. Blass (June 1-10, 1991, Kupuri).

Handbook of Function and Generalized Function Transformations

Author : Ahmed I. Zayed
Publisher : CRC Press
ISBN 13 : 0429610912
Total Pages : 670 pages
Book Rating : 4.4/5 (296 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Function and Generalized Function Transformations by : Ahmed I. Zayed

Download or read book Handbook of Function and Generalized Function Transformations written by Ahmed I. Zayed and published by CRC Press. This book was released on 2019-08-21 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.

Harmonic Analysis

Author : J. Marshall Ash
Publisher : American Mathematical Soc.
ISBN 13 : 0821839209
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Harmonic Analysis by : J. Marshall Ash

Download or read book Harmonic Analysis written by J. Marshall Ash and published by American Mathematical Soc.. This book was released on 2006 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting in the early 1950's, Alberto Calderon, Antoni Zygmund, and their students developed a program in harmonic analysis with far-reaching consequences. The title of these proceedings reflects this broad reach. This book came out of a DePaul University conference honoring Stephen Vagi upon his retirement in 2002. Vagi was a student of Calderon in the 1960's, when Calderon and Zygmund were at their peak. Two authors, Kenig and Gatto, were students of Calderon; one, Muckenhoupt, was a student of Zygmund. Two others studied under Zygmund's student Elias Stein. The remaining authors all have close connections with the Calderon-Zygmund school of analysis. This book should interest specialists in harmonic analysis and those curious to see it applied to partial differential equations and ergodic theory. In the first article, Adam Koranyi summarizes Vagi's work. Four additional articles cover various recent developments in harmonic analysis: Eduardo Gatto studies spaces with doubling and non-doubling measures; Cora Sadosky, product spaces; Benjamin Muckenhoupt, Laguerre expansions; and Roger Jones, singular integrals. Charles Fefferman and Carlos Kenig present applications to partial differential equations and Stephen Wainger gives an application to ergodic theory. The final article records some interesting open questions from a problem session that concluded the conference.

Summable Series and Convergence Factors

Author : Charles Napoleon Moore
Publisher : American Mathematical Soc.
ISBN 13 : 0821846205
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Summable Series and Convergence Factors by : Charles Napoleon Moore

Download or read book Summable Series and Convergence Factors written by Charles Napoleon Moore and published by American Mathematical Soc.. This book was released on 1938-12-31 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society