The subject of harmonic analysis began with Fourier series,

but soon blossomed to the Fourier transform, harmonic analysis of locally compact abelian groups, group representations, and many other variants. A more modern venue for harmonic analysis is the complex analysis of several variables.This course will be an introduction to harmonic analysis

in the complex variable context. We will treat both one-variable and several-variable questions. These will include the Bergman and Szego kernels, the Heisenberg group, the inhomogeneous Cauchy-Riemann equations, and other topics.Any student who has passed the qualifying exams can consider

him/herself to be qualified to take this course. I willI will use material from these two books:

* Function Theory of Several Complex Variables * by Steven G. Krantz

* Explorations in Harmonic Analysis: With Applications *

The first class meeting will be as scheduled by the university.

At that meeting we will find a mutually agreeable time for the class.