Teaching

Type:	Time:	Place:	Start:
Lecture (VO) 2 hrs.	Thu 16:45-18:45	SR12	1.3.

L^p spaces (convolution, approximation, Lebesgue points, characterization of absolutely continuous functions), Fourier analysis. I am following part 2 of my notes:

• Chapter 8: We covered all topics but left some proofs for self study.
• Chapter 9: We covered the first three sections (no proofs in the third section)
• Chapter 9: We covered the first three sections (no proofs in the third section)
• Chapter 10: We covered the first four sections
• Chapter 11: We covered the first three sections and the appendix (11.8)
• Chapter 12: We covered the first two sections
• Chapter 14: We started with the first section

Module "Advanced Functional Analysis" in the Master's programme in Mathematics.

The course assessment for the lecture will be via an oral examination at the end of the course.

Some textbooks:

1. E. Lieb and M. Loss, Analysis, 2nd ed., GSM 14, AMS, Providence, 2001
2. W. Rudin, Real and Complex Analysis, 3rd ed., McGraw-Hill, Boston 1987.
3. E. M. Stein und R. Shakarchi, Fourier Analysis, Princeton UP, Princeton, 2003.
4. E. M. Stein und R. Shakarchi, Real Analysis, Princeton UP, Princeton, 2005.
5. G. Teschl, Topics in Real and Functional Analysis, lecture notes.