Functional Analysis (Winter Semester 2022/23)
- Lecturer: JProf. Dr. Xian Liao
- Classes: Lecture (0104800), Problem class (0104810)
- Weekly hours: 4+2
| Schedule | ||
|---|---|---|
| Lecture: | Monday 11:30-13:00 | 20.30 1. OG R. 1.66/ 1.67 |
| Friday 11:30-13:00 | 20.30 1. OG R. 1.66/ 1.67 | |
| Problem class: | Wednesday 8:00-9:30 | 20.30 1. OG R. 1.66/ 1.67 |
| Lecturers | ||
|---|---|---|
| Lecturer | JProf. Dr. Xian Liao | |
| Office hours: by appointment | ||
| Room 3.027 Kollegiengebäude Mathematik (20.30) | ||
| Email: xian.liao@kit.edu | Problem classes | M. Sc. Rebekka Zimmermann |
| Office hours: by appointment | ||
| Room 3.030 Kollegiengebäude Mathematik (20.30) | ||
| Email: rebekka.zimmermann@kit.edu | ||
In this lecture we are going to view the functions as points in the functional spaces. Various spaces such as normed spaces, Banach spaces, Hilbert spaces, Lebesgue spaces, distribution spaces, Sobolev spaces, will be introduced and discussed.
Prerequisites:
Analysis I, II, III, Linear Algebra.
Lecture Notes:
Lecture Notes (Version 17.02.2023)
Exercise Sheets:
Exercise sheet 1 (To be explained on 02.11.2022)
Exercise sheet 2 (To be explained on 09.11.2022)
Exercise sheet 3 (To be explained on 16.11.2022)
Exercise sheet 4 (To be explained on 23.11.2022)
Exercise sheet 5 (To be explained on 30.11.2022)
Exercise sheet 6 (To be explained on 07.12.2022)
Exercise sheet 7 (To be explained on 14.12.2022)
Exercise sheet 8 (To be explained on 21.12.2022)
Exercise sheet 9 (To be explained on 11.01.2023)
Exercise sheet 10 (To be explained on 18.01.2023)
Exercise sheet 11 (To be explained on 25.01.2023)
Exercise sheet 12 (To be explained on 01.02.2023)
Exercise sheet 13 (To be explained on 08.02.2023)
Exercise sheet 14 (To be explained on 15.02.2023)
Solutions
Solutions sheet 1
Solutions sheet 2
Solutions sheet 3
Solutions sheet 4
Solutions sheet 5
Solutions sheet 6
Solutions sheet 7
Solutions sheet 8
Solutions sheet 9
Solutions sheet 10
Solutions sheet 11
Solutions sheet 12
Solutions sheet 13
Solutions sheet 14
Examination
Die Nach-Klausur im Sommersemester 2023 findet ebenfalls in englischer Sprache statt.
The next written examination in Summer Semester 2023 will also be in english language.
The makeup exam takes place on 01.08.2023:
10:00-12:00, SR. 1.067, Buildg. 20.30
The post-exam review takes place on Friday, 11.08.2023 in Office 3.030 between 10:00 and 12:00.