1. Course description
Basically we shall cover the following topics.
Holomorphic functions in several variables, Subharmonic functions, Hartogs' theorem, Domain of holomorphy, Automorphisms of bounded domains.
2. Text Books
R. Narasimhan: Several Complex Variables, the University of Chicago Press.
3. References
(i) So-Chin Chen and Mei-Chi Shaw: Partial Differential Equations in Several Complex Variables, Studies in Advanced Mathematics, no. 19, IP-AMS.
(ii) L. Hormander: An introduction to Complex Analysis in Several Complex Variables, Van Nostrand.
(iii) S. Krantz: Function Theory of Several Complex Variables, 2nd edition, Wadsworth, Belmont, California.
(iv) R. M. Range: Holomorphic Functions and Integral Representations in Several Complex Variables, Graduate Texts in Math., Vol.108, Springer-Verlag.
4. Teaching Method
Lecture. Students are required to lecture in class too.
5. Syllabus
6. Evaluation
It will be announced in the first class.