Universität Wien
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877865 VO Analysis of several complex variables (2004S)

Analysis of several complex variables

0.00 ECTS (3.00 SWS), UG99 Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 02.03. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 04.03. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 09.03. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 11.03. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 16.03. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 18.03. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 23.03. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 25.03. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 30.03. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 01.04. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 20.04. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 22.04. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 27.04. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 29.04. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 04.05. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 06.05. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 11.05. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 13.05. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 18.05. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Tuesday 25.05. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 27.05. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Thursday 03.06. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 08.06. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Tuesday 15.06. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 17.06. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 22.06. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Thursday 24.06. 13:00 - 14:30 (ehem. Seminarraum A 1.01)
  • Tuesday 29.06. 15:00 - 15:45 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum

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

Currently no association information is available.

Last modified: Th 31.10.2024 00:21