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250349 VO Selected topics in Complex Analysis (2006S)

Selected topics in Complex Analysis

0.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Erstmals am Montag, 6.3.2006

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 06.03. 12:00 - 13:10 Seminarraum
  • Tuesday 07.03. 12:00 - 13:10 Seminarraum
  • Tuesday 14.03. 12:00 - 13:10 Seminarraum
  • Monday 20.03. 12:00 - 13:10 Seminarraum
  • Tuesday 21.03. 12:00 - 13:10 Seminarraum
  • Monday 27.03. 12:00 - 13:10 Seminarraum
  • Tuesday 28.03. 12:00 - 13:10 Seminarraum
  • Monday 03.04. 12:00 - 13:10 Seminarraum
  • Tuesday 04.04. 12:00 - 13:10 Seminarraum
  • Monday 24.04. 12:00 - 13:10 Seminarraum
  • Tuesday 25.04. 12:00 - 13:10 Seminarraum
  • Tuesday 02.05. 12:00 - 13:10 Seminarraum
  • Monday 08.05. 12:00 - 13:10 Seminarraum
  • Tuesday 09.05. 12:00 - 13:10 Seminarraum
  • Monday 15.05. 12:00 - 13:10 Seminarraum
  • Tuesday 16.05. 12:00 - 13:10 Seminarraum
  • Monday 22.05. 12:00 - 13:10 Seminarraum
  • Tuesday 23.05. 12:00 - 13:10 Seminarraum
  • Monday 29.05. 12:00 - 13:10 Seminarraum
  • Tuesday 30.05. 12:00 - 13:10 Seminarraum
  • Monday 12.06. 12:00 - 13:10 Seminarraum
  • Tuesday 13.06. 12:00 - 13:10 Seminarraum
  • Monday 19.06. 12:00 - 13:10 Seminarraum
  • Tuesday 20.06. 12:00 - 13:10 Seminarraum
  • Monday 26.06. 12:00 - 13:10 Seminarraum
  • Tuesday 27.06. 12:00 - 13:10 Seminarraum

Information

Aims, contents and method of the course

Steven Krantz writes in the introduction to
his book: "One might be tempted to think of the analysis of several complex variables as being esentially one variable theory with additional complication of multi-indices. This perception turns out to be incorrect. Deep new phenomena and profound problems present themselves in the theory of several variables." We start with a comparison of the theory in one complex variable and in several variables. The essential differences are used as a motivation and guideline for the lecture course. Holomorphic functions, power series, Cauchy-Riemann differential equations, domains of holomorphy, pseudoconvex domains, Hörmander's L^2
estimates for the solution of the inhomogeneous Cauchy-Riemann differential equations.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Steven Krantz :"Function theory of several complex
variables," Wadsworth & Brooks/Cole, 1992 Klaus Fritzsche and Hans Grauert: "From holomorphic functions to complex manifolds", Graduate Texts in Mathematics, Springer-Verlag, 2002.

Association in the course directory

Last modified: Mo 07.09.2020 15:40