MATH3093 - Fourier Analysis - 2023/24

Course Name: 
Course Year: 


  • Please be reminded that the midterm exam of Math3093 will be held on March 21 (Thursday), 19:30pm-21:30pm, at LSB LT1.

General Information


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

Teaching Assistant

  • Mr. Tianhan Yi
    • Office: LSB 232
    • Tel: 39435294
    • Email:

Time and Venue

  • Lecture: Tu 10:30AM - 12:15PM, Science Centre L4; Th 10:30AM - 11:15AM, Leung Kau Kui Bldg 101
  • Tutorial: Th 11:30AM - 12:15PM, Leung Kau Kui Bldg 101

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.


  • E.M. Stein and R. Shakarchi, Fourier analysis. An introduction. Princeton Lectures in Analysis, 1. Princeton University Press, Princeton, NJ, 2003


  • Y. Katznelson, An introduction to harmonic analysis. Third edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2004.
  • T. W. Körner, Fourier analysis. Cambridge University Press, Cambridge, 1988.

Lecture Notes

Tutorial Notes



Assessment Scheme

Assignments 10%
Mid-term Exam 40%
Final Exam 50%

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

Assessment Policy

Last updated: April 13, 2024 23:16:32