《直交函数的傅里叶级数之和》扫描版[PDF]

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状态:: 普通资源
发布:: 2013-07-24 10:15:00
更新:: 2013-07-25 14:38:00

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语言: 英文

地区: 大陆

图书fenlei: 科技

中文名: 直交函数的傅里叶级数之和

发行时间: 1957年12月

资源格式: PDF

版本: 扫描版

简介:

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<0, for a Fourier series at a given point is discussed in Chapter V.
Chapter VI is devoted to the theory of absolute Cesàro summability of the allied series of a Fourier series.
In Chapter VII, there will be found a discussion of the Cesàro summability of the series of hyperspherical functions.
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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