Some Aspects of Fourier Series

碩士 === 國立中正大學 === 應用數學研究所 === 100 === In this paper, I introduce some basic properties of Fourier series and apply them to show that the Fourier series of the continuous function diverge at the point 0 and the function is continuous but nowhere differentiable.

Bibliographic Details
Main Authors: Shu-Fen Chen, 陳淑芬
Other Authors: Chi-Cheung Poon
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/93938011617190725790
Description
Summary:碩士 === 國立中正大學 === 應用數學研究所 === 100 === In this paper, I introduce some basic properties of Fourier series and apply them to show that the Fourier series of the continuous function diverge at the point 0 and the function is continuous but nowhere differentiable.