直交函数的傅里叶级数之和扫描版[PDF]

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资源信息： 中文名: 直交函数的傅里叶级数之和 作者: 陈建功 图书分类: 科技 资源格式: PDF 版本: 扫描版 出版社: 科学出版社 书号: 无 发行时间: 1957年12月 地区: 大陆 语言: 英文 概述:

内容介绍 In Chapter I, an account is given of the systems of orthogonal functions normalized in a finite interval. Chapter II is concerned with the convergence problem of the classical Fourier series and its allied series. Chapter III is devoted to theory of absolute convergence of Fourier series. Chapter IV contains an exposition of the theory of summability |C,α| of positive order α for a Fourier series at a given point. The summability |C,α|, α

目录: Introduction Chapter I. Normal orthogonal system of functions Chapter II. The trigonometrical scries Chapter III. Absolute convergence of Fourier series Chapter IV. Absolute Cesàro summability of positive order for a Fourier series Chapter V. Absolute Cesàro summability of negative order for a Fourier series at a given point Chapter VI. Absolute convergence of the allied series of a Fourier series Chapter VII. Laplace’s series of hyperspherical functions Bibliography