MATH3093 - Fourier Analysis - 2017/18

General Information

Lecturer

• 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.

Textbooks

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

References

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

Tutorial Notes

• Tutorial 01
• Tutorial 02
• Tutorial 03
• Tutorial 04
• Tutorial 05(revised)
• Tutorial 06
• Tutorial 07
• Tutorial 08
• Tutorial 09
• Tutorial 10
• Tutorial 11
• Tutorial 12

Assignments

• Assignment 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6
• Assignment 7
• Assignment 8
• Assignment 9

Solutions

• Solution 01
• Solution 02
• Solution 03
• Solution 04
• Solution 05
• Solution 06(revised)
• Solution 07
• Solution 08(revised)
• Solution 09

Assessment Scheme

Assignments		10%
Midterm 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.

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Assessment Policy

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