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Author : Y. Okuyama
Publisher : Springer
ISBN 13 : 3540389024
Total Pages : 125 pages
Book Rating : 4.5/5 (43 download)
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 117 pages
Book Rating : 4.:/5 (499 download)
Download or read book Absolute Summability of Fourier Series and Orthogonal Series written by and published by . This book was released on 1984 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fu Traing Wang
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (116 download)
Download or read book Note on the Absolute Summability of Fourier Series written by Fu Traing Wang and published by . This book was released on 1941 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jian'gong Chen
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.3/5 (91 download)
Download or read book Summation of the Fourier Series of Orthogonal Functions written by Jian'gong Chen and published by . This book was released on 1957 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Nanda
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173196027
Total Pages : 234 pages
Book Rating : 4.1/5 (96 download)
Download or read book Sequences, Summability and Fourier Analysis written by S. Nanda and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequences, Summability and Fourier Analysis deals with various aspects of summability, a major branch of analysis. The subject grew extensively during the twentieth century through the contribution of eminent analysts, but there are numerous unsolved problems, which still baffle the present-day scholars, as the application side has been poorly attended to. This volume contains original research articles, many valuable survey articles on approximation theory, multivalent functions, almost convergence and absolute almost convergence, Tauberian theorems, Köthe-Toeplitz duals of sequence spaces, random Fourier series, stochastic integrals, interpolative subspaces of Banach space, metric transformations in sequence spaces, absolute summability and Nörlund summability.
Author : Boris Osilenker
Publisher : World Scientific
ISBN 13 : 9789810237875
Total Pages : 304 pages
Book Rating : 4.2/5 (378 download)
Download or read book Fourier Series in Orthogonal Polynomials written by Boris Osilenker and published by World Scientific. This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic coarse on general orthogonal polynomials and Fourie series in orthogonal polynomials. It consists of six chapters. Chapter 1 deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter 2 contains the classical results about the orthogonal polynomials (some properties, classical Jacobi polynomials and the criteria of boundedness). The main subject of the book is Fourier series in general orthogonal polynomials. Chapters 3 and 4 are devoted to some results in this topic (classical results about convergence and summability of Fourier series in L(2)micro; summability almost everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial series are the subject of Chapters 4 and 5). The last chapter contains some estimates regarding the generalized shift operator and the generalized product formula, associated with general orthogonal polynomials. The starting point of the technique in Chapters 4 and 5 is the representations of bilinear and trilinear forms obtained by the author. The results obtained in these two chapters are new ones. Chapters 2 and 3 (and part of Chapter 1) will be useful to postgraduate students, and one can choose them for treatment. This book is intended for researchers (mathematicians and physicists) whose work involves function theory, functional analysis, harmonic analysis and approximation theory.
Author : James M. Hyslop
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (181 download)
Download or read book The Absolute Summability of Series with Applications to Fourier Series written by James M. Hyslop and published by . This book was released on 1939 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shin'ichi Izumi
Publisher : Sherbrooke, Que. : Dép. de mathématiques, Université de Sherbrooke
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)
Download or read book Some Topics on the Summability and Absolute Summability of Fourier Series written by Shin'ichi Izumi and published by Sherbrooke, Que. : Dép. de mathématiques, Université de Sherbrooke. This book was released on 1970 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sandeep Singh
Publisher : Springer Nature
ISBN 13 : 3031190823
Total Pages : 242 pages
Book Rating : 4.0/5 (311 download)
Download or read book Algebra, Analysis, and Associated Topics written by Sandeep Singh and published by Springer Nature. This book was released on 2023-01-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Author : Ferenc Weisz
Publisher : Springer Science & Business Media
ISBN 13 : 9401731837
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)
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].
Author : Shin-ichi Izumi
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (896 download)
Download or read book Some Topics on the Summability and Absolute Summability for Fourier Series written by Shin-ichi Izumi and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harry F. Davis
Publisher : Courier Corporation
ISBN 13 : 0486140733
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)
Download or read book Fourier Series and Orthogonal Functions written by Harry F. Davis and published by Courier Corporation. This book was released on 2012-09-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with partial derivatives, multiple integrals, vectors, and elementary differential equations will find the text both accessible and challenging. The first three chapters of the book address linear spaces, orthogonal functions, and the Fourier series. Chapter 4 introduces Legendre polynomials and Bessel functions, and Chapter 5 takes up heat and temperature. The concluding Chapter 6 explores waves and vibrations and harmonic analysis. Several topics not usually found in undergraduate texts are included, among them summability theory, generalized functions, and spherical harmonics. Throughout the text are 570 exercises devised to encourage students to review what has been read and to apply the theory to specific problems. Those preparing for further study in functional analysis, abstract harmonic analysis, and quantum mechanics will find this book especially valuable for the rigorous preparation it provides. Professional engineers, physicists, and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference as well.
Author : G. D. Dikshit
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (395 download)
Download or read book On Absolute Summability Factors for Fourier Series written by G. D. Dikshit and published by . This book was released on 1975 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Johann Boos
Publisher : Clarendon Press
ISBN 13 : 9780198501657
Total Pages : 616 pages
Book Rating : 4.5/5 (16 download)
Download or read book Classical and Modern Methods in Summability written by Johann Boos and published by Clarendon Press. This book was released on 2000 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades. The present book aims to introduce the reader to the wide field of summability and its applications, and provides an overview of the most important classical and modern methods used. Part I contains a short general introduction to summability, the basic classical theory concerning mainly inclusion theorems and theorems of the Silverman-Toeplitz type, a presentation of the most important classes of summability methods, Tauberian theorems, and applications of matrix methods. The proofs in Part I are exclusively done by applying classical analytical methods. Part II is concerned with modern functional analytical methods in summability, and contains the essential functional analytical basis required in later parts of the book, topologization of sequence spaces as K- and KF-spaces, domains of matrix methods as FK-spaces and their topological structure. In this part the proofs are of functional analytical nature only. Part III of the present book deals with topics in summability and topological sequence spaces which require the combination of classical and modern methods. It covers investigations of the constistency of matrix methods and of the bounded domain of matrix methods via Saks space theory, and the presentation of some aspects in topological sequence spaces. Lecturers, graduate students, and researchers working in summability and related topics will find this book a useful introduction and reference work.
Author : Boris Osilenker
Publisher : World Scientific
ISBN 13 : 9814495220
Total Pages : 295 pages
Book Rating : 4.8/5 (144 download)
Download or read book Fourier Series In Orthogonal Polynomials written by Boris Osilenker and published by World Scientific. This book was released on 1999-04-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials. It consists of six chapters. Chapter 1 deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter 2 contains the classical results about the orthogonal polynomials (some properties, classical Jacobi polynomials and the criteria of boundedness).The main subject of the book is Fourier series in general orthogonal polynomials. Chapters 3 and 4 are devoted to some results in this topic (classical results about convergence and summability of Fourier series in L2μ; summability almost everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial series are the subject of Chapters 4 and 5).The last chapter contains some estimates regarding the generalized shift operator and the generalized product formula, associated with general orthogonal polynomials.The starting point of the technique in Chapters 4 and 5 is the representations of bilinear and trilinear forms obtained by the author. The results obtained in these two chapters are new ones.Chapters 2 and 3 (and part of Chapter 1) will be useful to postgraduate students, and one can choose them for treatment.This book is intended for researchers (mathematicians, mechanicians and physicists) whose work involves function theory, functional analysis, harmonic analysis and approximation theory.
Author : József Attila Tudományegyetem
Publisher :
ISBN 13 :
Total Pages : 838 pages
Book Rating : 4.:/5 (44 download)
Download or read book Acta Scientiarum Mathematicarum written by József Attila Tudományegyetem and published by . This book was released on 1995 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. D. Dikshit
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (315 download)
Download or read book Absolute Riesz Summability of Fourier Series written by G. D. Dikshit and published by . This book was released on 1980 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
