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Author : Chien-kung Chʹen
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (11 download)
Download or read book Summation of the Fourier Series of Orthogonal Functions written by Chien-kung Chʹen and published by . This book was released on 1973 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chien-Kung Ch'En
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (122 download)
Download or read book Summation of the Fourier Series of Orthogonal Functions written by Chien-Kung Ch'En and published by . This book was released on 1973 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kien-Kwong Chen
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (22 download)
Download or read book Summation of the Fourier Series of Orthogonal Functions written by Kien-Kwong Chen and published by . This book was released on 1973 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Čen“ ”Ťien“-”Kung
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (32 download)
Download or read book Summation of the Fourier Series of Orthogonal Functions written by Čen“ ”Ťien“-”Kung and published by . This book was released on 1957 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dunham Jackson
Publisher : American Mathematical Soc.
ISBN 13 : 1614440069
Total Pages : 234 pages
Book Rating : 4.6/5 (144 download)
Download or read book Fourier Series and Orthogonal Polynomials written by Dunham Jackson and published by American Mathematical Soc.. This book was released on 1941-12-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The underlying theme of this monograph is that the fundamental simplicity of the properties of orthogonal functions and the developments in series associated with them makes those functions important areas of study for students of both pure and applied mathematics. The book starts with Fourier series and goes on to Legendre polynomials and Bessel functions. Jackson considers a variety of boundary value problems using Fourier series and Laplace's equation. Chapter VI is an overview of Pearson frequency functions. Chapters on orthogonal, Jacobi, Hermite, and Laguerre functions follow. The final chapter deals with convergence. There is a set of exercises and a bibliography. For the reading of most of the book, no specific preparation is required beyond a first course in the calculus. A certain amount of “mathematical maturity” is presupposed or should be acquired in the course of the reading.
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 : Jian'gong Chen
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.F/5 ( 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 : G. Alexits
Publisher : Elsevier
ISBN 13 : 1483222772
Total Pages : 362 pages
Book Rating : 4.4/5 (832 download)
Download or read book Convergence Problems of Orthogonal Series written by G. Alexits and published by Elsevier. This book was released on 2014-07-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Problems of Orthogonal Series deals with the theory of convergence and summation of the general orthogonal series in relation to the general theory and classical expansions. The book reviews orthogonality, orthogonalization, series of orthogonal functions, complete orthogonal systems, and the Riesz-Fisher theorem. The text examines Jacobi polynomials, Haar's orthogonal system, and relations to the theory of probability using Rademacher's and Walsh's orthogonal systems. The book also investigates the convergence behavior of orthogonal series by methods belonging to the general theory of series. The text explains some Tauberian theorems and the classical Abel transform of the partial sums of a series which the investigator can use in the theory of orthogonal series. The book examines the importance of the Lebesgue functions for convergence problems, the generalization of the Walsh series, the order of magnitude of the Lebesgue functions, and the Lebesgue functions of the Cesaro summation. The text also deals with classical convergence problems in which general orthogonal series have limited significance as orthogonal expansions react upon the structural properties of the expanded function. This reaction happens under special assumptions concerning the orthogonal system in whose functions the expansion proceeds. The book can prove beneficial to mathematicians, students, or professor of calculus and advanced mathematics.
Author : Kien-Kwong Chen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book Summation of the Fourier Series of Orthogonal Funcations written by Kien-Kwong Chen and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Georgi P. Tolstov
Publisher : Courier Corporation
ISBN 13 : 0486141748
Total Pages : 354 pages
Book Rating : 4.4/5 (861 download)
Download or read book Fourier Series written by Georgi P. Tolstov and published by Courier Corporation. This book was released on 2012-03-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and more. Over 100 problems. 1962 edition.
Author : Dunham Jackson
Publisher :
ISBN 13 : 9781258809539
Total Pages : 248 pages
Book Rating : 4.8/5 (95 download)
Download or read book Fourier Series and Orthogonal Polynomials written by Dunham Jackson and published by . This book was released on 2013-09 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergei Suslov
Publisher : Springer Science & Business Media
ISBN 13 : 1475737319
Total Pages : 379 pages
Book Rating : 4.4/5 (757 download)
Download or read book An Introduction to Basic Fourier Series written by Sergei Suslov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was with the publication of Norbert Wiener's book ''The Fourier In tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.
Author : Harry Floyd Davis
Publisher :
ISBN 13 :
Total Pages : 415 pages
Book Rating : 4.:/5 (257 download)
Download or read book Fourier Series and Orthogonal Functions written by Harry Floyd Davis and published by . This book was released on 1966 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Olevskii
Publisher :
ISBN 13 : 9783642660573
Total Pages : 152 pages
Book Rating : 4.6/5 (65 download)
Download or read book Fourier Series with Respect to General Orthogonal Systems written by A. Olevskii and published by . This book was released on 2014-08-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dunham 1888-1946 Jackson
Publisher : Hassell Street Press
ISBN 13 : 9781014791238
Total Pages : 256 pages
Book Rating : 4.7/5 (912 download)
Download or read book Fourier Series and Orthogonal Polynomials written by Dunham 1888-1946 Jackson and published by Hassell Street Press. This book was released on 2021-09-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Y. Okuyama
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.F/5 ( download)
Download or read book Absolute Summability of Fourier Series and Orthogonal Series written by Y. Okuyama and published by Lecture Notes in Mathematics. This book was released on 1984-07 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
