課程概述 We study the concepts and basic properties of Fourier series. Then we discuss the convergence of the Fourier Series. Next we investigate the ideas of conjugate functions and interpolation of linear operators. Finally we learn the Fourier transform on the line and the related Fourier analysis
教學目標 We expect to grab the basic idea and concept of Fourier series and Fourier transform. Then we learn various properties of them from different aspects.
授課課程大綱明細
Ch1: Fourier Series on T
Ch2: Convergence of Fourier Series
Ch3: Conjugate Functions and Functions Analytic in the Unit Circle
Ch4: Interpolation of Linear Operators
Ch5: Lacunary Series
Ch6: Fourier Transform on the Line
Ch7: Fourier Analysis on Locally Compact Abelian Groups
Ch8: Commutative Banach Algebras
教學方法 Teaching Strategies
序號 教學方法 分配 刪除
1 講授 Lecture 70 %
2 報告 Presentation 30 %
總計 100%
參考書目 An Introduction to Harmonic Analysis( Chapter 1 - 8) by Yitzhak Katznelsor
2009 3rd Revised edition 9780521543590 Cambridge University Press
課程要求 Real Analysis and Partial Differential Equations
評量方式 Homework: 40%
Final: 60%
學習規範 Course Policy
請遵守智慧財產權觀念不得不法影印
Please follow the Intellectual Property instruction and No illegal copy
1. 作業不能遲交。
2. 缺考需要醫師證明、或家長證明、或學校公假單。
3, 考試違規，報請學校處理。
課程網址 http://www.math.ncku.edu.tw/~fang
- 教師(teacher): 方永富