TMA4170 Fourier analysis 2020

• The course will begin with the first lecture on Thursday, January 9 in GL-SB2 S23.

• Time Plan can be found here.
  

• Mondays 15:15-17:00, S23 Sentralbygg 2
• Thursdays 12:15-14:00, S23 Sentralbygg 2

• Tuesdays 16:15-17:00, F3 Gamle Fysikk

The file will be updated to precede the course by a little:

• Lecture notes

Coronavirus notes:

• Week 1
• Week 2
• Week 3
• Week 4
• Week 5

Problem lists:

• List 1
• List 2
• List 3
• List 4
• List 5
• There are only a few problems related to measure theory, because I only want to focus on presenting the material. Anyone looking for additional training resources related to this subject may contact me. It is nevertheless an important background to many of the core results of the entire course. The fine details of this part of the lecture are not going to be on the exam, but I expect everyone to be familiar with main theorems.
• List 6

Primary:

• H. Dym and H. P. McKean, Fourier Series and Integrals, Academic Press, 1972,
• A. Boggess and F. Narcowich, A first course in Wavelets with Fourier Analysis, Wiley, 2nd Edition, 2009,

Secondary:

• E. M. Stein and R. Shakarchi, Fourier Analysis, An Introduction, Princeton University Press, 2003
• G. Gasquet and P. Witomski, Fourier Analysis and Applications, Springer.

Measure theory interlude (in order of relevance):

• D. L. Cohn, Measure theory. Second edition. Birkhäuser/Springer, 2013,
• S. Łojasiewicz, An introduction to the theory of real functions, John Wiley & Sons, Ltd., 1988.
• P. R. Halmos, Measure theory, Springer, 1950

• Miłosz Krupski