MATH3093  Fourier Analysis  2017/18
General Information
Lecturer

DeJun Feng
 Office: R211, LSB
 Tel: 39437965
 Email:
Teaching Assistant

Yuan Yuan
 Office: AB1, 614
 Tel: 3943 4109
 Email:
 Office Hours: Tu13, Th13, Fr12
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, meansquare 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.
Assessment Policy Last updated: April 16, 2018 12:54:22