Functional Analysis (Winter Semester 2022/23)
- Lecturer: JProf. Dr. Xian Liao
- Classes: Lecture (0104800), Problem class (0104810)
- Weekly hours: 4+2
Schedule | ||
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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 | ||
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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 30.01.2023)
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)
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