MATH3093 - Fourier Analysis - 2017/18

Course Name: 
Course Year: 

General Information


  • De-Jun Feng
    • Office: R211, LSB
    • Tel: 39437965
    • Email:

Teaching Assistant

  • Yuan Yuan
    • Office: AB1, 614
    • Tel: 3943 4109
    • Email:
    • Office Hours: Tu1-3, Th1-3, Fr1-2

Time and Venue

  • Lecture: Mo 9:30 - 10:15, LSB C2; We 10:30 - 12:15, LSB C2
  • Tutorial: Mo 8:30 - 9:15, LSB C2

Course Description

This course is an introduction to Fourier series and Fourier transform. Topics include: Orthogonal families of functions, mean-square convergence of Fourier series and completeness, pointwise convergence of Fourier series, Gibbs's phenomenon; Fourier transform and its inversion, Plancherel formula. Further topics will be selected from: The isoperimetric inequality, Poisson summation formula Heisenberg uncertainty principle, and the notion of a wavelet.


  • E. M. Stein and R. Shakarchi, Fourier Analysis: an introduction. Princeton University Press, 2003


  • M. A. Pinsky, Introduction to Fourier analysis and wavelets. Wadeworth group, Brooks/Cole, 2002.
  • Y. Katznelson, Introduction to harmonic analysis. Dover. 1976

Tutorial Notes



Assessment Scheme

Assignments 10%
Midterm exam 40%
Final exam 50%

Honesty in Academic Work

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and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: April 16, 2018 12:54:22