Real Analysis,
Summer term 2024
Place and Time
| Type: | Time: | Place: | Start: |
| Lecture (VO) 2 hrs. | Tue 9:45-11:15 | HS2 | 5.3. |
Content
Lp spaces
(convolution, approximation, Lebesgue points, characterization of absolutely continuous functions),
Fourier analysis.
I am following my notes:
- Recap measure theory (Sections 1.1-1.5)
- Recap integration theory (Sections 2.1-2.3)
- Lebesgue spaces (Sections 3.1-3.?)
Target audience
Module "Advanced Functional Analysis" in the Master's programme in Mathematics.
Assessment
The course assessment for the lecture will be via an oral examination at the end of
the course.
Literature
Some textbooks:
Looking forward to seeing you, Gerald Teschl
- E. Lieb and M. Loss, Analysis, 2nd ed., GSM 14, AMS, Providence, 2001
- W. Rudin, Real and Complex Analysis, 3rd ed., McGraw-Hill, Boston 1987.
- E. M. Stein und R. Shakarchi, Fourier Analysis, Princeton UP, Princeton, 2003.
- E. M. Stein und R. Shakarchi, Real Analysis, Princeton UP, Princeton, 2005.
- G. Teschl, Topics in Real Analysis, lecture notes.