MATH3093 - Fourier Analysis - 2023/24

Course Name: 
Course Year: 
2023/24
Term: 
2

Announcement

  • 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

Lecturer

  • 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.


Textbooks

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

References

  • 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


Assignments


Solutions


Assessment Scheme

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

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

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


Assessment Policy

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