Integrated MSc-PhD Program


KSM4E01: Several Complex Variables

The \overline{\partial}-operator, holomorphic functions, Cauchy’s formula, The Hartog’s phenomenon the Dolbeault Lemma, Power series and Reinhardt domains, Domains of holomorphy, Subharmonic and plurisubharmonic functions, Convexity and pseudoconvexity.

Suggested texts:

            1. Holomorphic Functions and Integral Representations in Several Complex Variables by Michael Range
            2. Function Theory of Several Complex Variables by S. G. Krantz
            3. An Introduction to Complex Analysis in Several Variables by Lars Hörmander