Universität Wien

250067 VO Several complex variables (2011S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 07.03. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 21.03. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 28.03. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 04.04. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 11.04. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 02.05. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 09.05. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 16.05. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 23.05. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 30.05. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 06.06. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 20.06. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14
  • Monday 27.06. 11:00 - 14:00 Seminarraum S1 Vienna Micro-CT Lab, Althanstraße 12-14

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

MANV

Last modified: Fr 01.10.2021 00:23