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Spectral Theory (Summer Semester 2008)

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: Friday, 11:45 to 13:15 and by appointment.
Room 2.042 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.