課程大綱及進度表
開課系所 數學系 開課學年 99 學年度 開課學期 2
課程名稱(中文) 調和分析（一）
課程名稱（英文） Harmonic Analysis (I) 課程碼 L166010
分班碼
先修科目或先備能力 實變數函數論和偏微分方程 學分數 3
開課教師 方永富
e-mail fang@math.ncku.edu.tw 電話 275-7575 轉 65131
Office Hours Mon, Thu: 12:10 - 13:00, and plus appointments
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
參考書目 An Introduction to Harmonic Analysis( Chapter 1 - 8) by Yitzhak Katznelsor 課程要求 Real Analysis and Partial Differential Equations
評量方式 Homework: 40%
Final: 60%
課程網址 http://www.math.ncku.edu.tw/~fang 助教資訊
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