250110 VO Selected topics in complex analysis (2014W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Friedrich Haslinger

Classes

Ort: Besprechungsraum 09.143
Termine: Montag 12:15 - 13:45

Information

Aims, contents and method of the course

Complex analysis in several variables. Spectral analysis of unbounded self-adjoint operators on Hilbertspaces.
Applications: Cauchy-Riemann operator, Schrödinger operator with magnetic field, Dirac- and Pauli operators, Witten Laplacian.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Examination topics

Reading list

E.B. Davies, Spectral Theory and Differential Operators, Cambridge Studies in Advanced Mathematics 42, Cambridge University Press, 1996.

B. Helffer, Spectral Theory and its Applications, Cambridge studies in advanced mathematics 139, Cambridge University Press 2013.

F. Haslinger, The d-bar Neumann problem and Schrödinger operators, Expositions in Mathematics 59, Walter de Gruyter, Berlin, 2014.

Association in the course directory

MANV

Advanced courses, specialization "Analysis"

25.3. Master Programme ➡ 4.2. Specialization "Analysis"

Last modified: We 19.08.2020 08:05