Several Complex Variables:Math 567, Spring 2012
Instructor John E. McCarthy
Class MWF 3.00-4.00 in 216 Cupples I
Office 105 Cupples I
Office Hours MF 11:00-12:00, W 9:15 -10:00
Prerequisites The pre-requisites for the course are 5021-5022 and 5051-5052.
Interested students who are taking 5022 and 5052 concurrently are welcome.
cover the basic theory of holomorphic functions of
Historically, there have been five different approaches to their study, each one being useful
for different sorts of questions. These are methods of power series, integral kernels, sheaf theory,
d-bar, and operator theory. We shall try to give the flavor of all five methods.
Basis for Grading
Grades are based on attendance and class participation.
The following is a brief bibliography you may find useful.
R.C. Gunning Introduction to holomorphic functions of several variables, Vols. I-III
L. Hormander An introduction to complex analysis in several variables
S.G. Krantz Function Theory of Several Complex Variables