Fourier Series In Orthogonal Polynomials

Fourier Series In Orthogonal Polynomials
Author :
Publisher : World Scientific
Total Pages : 295
Release :
ISBN-10 : 9789814495226
ISBN-13 : 9814495220
Rating : 4/5 (220 Downloads)

Book Synopsis Fourier Series In Orthogonal Polynomials by : Boris Osilenker

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.


Fourier Series In Orthogonal Polynomials Related Books

Fourier Series In Orthogonal Polynomials
Language: en
Pages: 295
Authors: Boris Osilenker
Categories: Mathematics
Type: BOOK - Published: 1999-04-01 - Publisher: World Scientific

DOWNLOAD EBOOK

This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials. It consists of six chapters. Chapter 1 de
Fourier Series and Orthogonal Polynomials
Language: en
Pages: 260
Authors: Dunham Jackson
Categories: Mathematics
Type: BOOK - Published: 2004-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition an
Fourier Series and Orthogonal Polynomials
Language: en
Pages: 256
Authors: Dunham 1888-1946 Jackson
Categories:
Type: BOOK - Published: 2021-09-09 - Publisher: Hassell Street Press

DOWNLOAD EBOOK

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 publi
Frontiers In Orthogonal Polynomials And Q-series
Language: en
Pages: 577
Authors: M Zuhair Nashed
Categories: Mathematics
Type: BOOK - Published: 2018-01-12 - Publisher: World Scientific

DOWNLOAD EBOOK

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatoric
Fourier Series and Orthogonal Functions
Language: en
Pages: 436
Authors: Harry F. Davis
Categories: Mathematics
Type: BOOK - Published: 2012-09-05 - Publisher: Courier Corporation

DOWNLOAD EBOOK

This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fo