Fourier Series

by G. H. Hardy, W. W. Rogosinski

Overview

Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, this classic, graduate-level text begins with a brief introduction to some generalities about trigonometrical series. Discussions of the Fourier series in Hilbert space lead to an examination of further properties of trigonometrical Fourier series, concluding with a detailed look at the applications of previously outlined theorems. Ideally suited for both individual and classroom study.

Product Details

ISBN-13:	9780486316284
Publisher:	Dover Publications
Publication date:	04/29/2013
Series:	Dover Books on Mathematics , #1
Sold by:	Barnes & Noble
Format:	eBook
Pages:	112
File size:	6 MB

Table of Contents

Preface; Notations
I. Generalities
II. Fourier series in Hilbert space
III. Further properties of trigonometrical Fourier series
IV. Convergence of Fourier series
V. Summability of Fourier series
VI. Applications of the theorems of Chapter V
VII. General trigonometrical series
Notes