TMA4170 Fourier analysis, spring 2019

Course description can be found here.

• The first lecture will take place in GL-SB2 S21 on Monday, January 7. Instead of the text book, we will use the lecture notes (see below: SYLLABUS-Notes). But this is not an online course, motivation and necessary details, missing from the notes, are lectured. You are recommended to read section 4 "Appendix 1" part of notes before the lecture.
  
• The first exercise session will take place in S21, 15th January, 16:15-17:00
  
• Exercise for week 2 can be found at the end of the notes, week 3 exercise will be handed out on Thursday, 10th January.
  
• Today (17th Jan) we finished section 1.6. The next lecture will be given by Helge Holden.
  
• On Tuesday, we went through Exercise 2. Since we will not provide the solutions for the exercise. We encourage you to attend the Exercise session or hand in the exercise. Exercise for week 5 is "Exercise set 1", see section 6 of the notes.
  
• There will be no Exercise Session on 22 Jan
• There will be no Exercise Session on 29 Jan
• Week 5 exercise has two parts and can be found in the notes now, solutions for Week 3 and 4 exercises will be presented on 5th Feb, 16:15-18:00, S21. There is an error in the last exercise for Week 4, sgn(x) should be -1 when x is negative
• There will be no Exercise Session on 12 Feb

• Time Plan can be found here.
  

• Mondays 12:15-14:00, S21 Sentralbygg 2
• Thursdays 10:15-12:00, S21 Sentralbygg 2

• Tuesdays 16:15-17:00, S21 Sentralbygg 2

• Exam date: May 31, 09:00-13:00
• Permitted aids: One A-4 sized sheet of yellow paper stamped by the Department of Math. Sciences (on it you may in advance write whatever you like).

The curriculum is covered mainly by the lectures based on the notes found in TMA4170 notes (renewed from time to time) and everything handed out during the lectures.

The Fourier analysis part of the notes is based on the following two books:

E. M. Stein & R. Shakarchi: Fourier Analysis, An Introduction, Princeton University Press, 2003
H. Dym & H. P. McKean: Fourier Series and Integrals, Academic Press, 1972

The wavelet part of the notes is based on the following book:

A. Boggess & F. Narcowich: A first course in Wavelets with Fourier Analysis, Wiley, 2nd Edition, 2009.
The book is available as an eBook through the university library, although restricted to only one person at a time.

As mentioned on page 160 of Boggess & Narcowich, Yves Meyer, Wavelets, Algorithms and Applications, SIAM, 1993 is interesting reading. Ingrid Daubechies: Ten Lectures on Wavelets, SIAM, 1992 is a classic that goes more deeply into the various aspects of wavelet theory.

• Helge Holden: Office 1156 in SB II, helge [dot] holden [at] ntnu [dot] no
• Xu Wang: Office 942 in SB II, xu [dot] wang [at] ntnu [dot] no

• Paul Duffin: pauldu [at] stud [dot] ntnu [dot] no
• Dennis Fimland: dennishf [at] stud [dot] ntnu [dot] no

TBA

TBA

Usually we will hand out the exercise, but you can also find the exercises at the end of the notes. The first five exercise sets are in page 53–59 in Part 1 of the notes

NOTE: The exams from 2014 and older are written with a slightly different curriculum in mind and as such may contain exercises not covered by the current curriculum!