Spectral Theory (Summer Semester 2008)
- Lecturer: Prof. Dr. Lutz Weis
- Classes: Lecture (1570), Problem class (1571)
- Weekly hours: 4+2
| Schedule | ||
|---|---|---|
| Lecture: | Tuesday 9:45-11:15 | Seminarraum 34 |
| Friday 11:30-13:00 | Seminarraum 34 | |
| Problem class: | Monday 15:45-17:15 | Seminarraum 34 |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Lutz Weis | |
| Office hours: | ||
| Room 2.047 Kollegiengebäude Mathematik (20.30) | ||
| Email: lutz.weis@kit.edu | Problem classes | Dr. Christoph Kriegler |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: christoph.kriegler@kit.edu | ||
Content
Spectral theory is a generalization of the eigenvalue theory of matrices to infinite dimensional operators, particularly integral operators and differential operators as occurring in many areas of applications such as mathematical physics and engineering.
This lecture is a continuation of the course "Functional Analysis" and is also addressed to students interested in the research training group "Analysis, Simulation and Design of Nanotechnological Processes".
Contents:
- Spectrum and resolvent of linear operators
- Spectral theory for compact operators, Fredholm alternative for integral operators
- Functional calculus for self-adjoint operators
- Applications to Heat-, Schrödinger- and Wave Equations
- Pertubation theory
Exercise Session
There will be no exercise session on Monday, 14th april.
For more information (exercise sheets, etc.), click here.