傅里叶变换与处处连续无处可微函数  

Fourier Transform and Nowhere-differentiable Functions

作　　者：楼红卫[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《高等数学研究》2017年第4期7-9,共3页Studies in College Mathematics

基　　金：国家自然科学基金(11371104)

摘　　要：本文介绍如何在数学分析课程中引入傅里叶变换以及利用傅里叶变换说明魏尔斯特拉斯函数的无处可微性.It is considered how to introduce Fourier transform and establish its main properties in the course of mathematical analysis. Based on these works, we think it is not difficult to show the nowhere- differentiability of Weierstrass＇s function, which is continuous everywhere.

关 键 词：傅里叶变换 速降函数 处处连续无处可微函数 

分 类 号：G174.22[文化科学]