Location:   Cupples I 111 -T-T--- 1:00PM 2:30PM

Instructor: Ilya Krishtal
             Office:  Cupples I, Room 202 (between the floors)
             Office Hours:  Tu,Th 11:40 - 12:40 or by appointment
             Office Tel:    935-6785 (has voice-mail)
             E-mail:        krishtal @ math.wustl.edu

Textbook:  Fourier Analysis: an Introduction (Princeton Lectures in Analysis, Volume 1)
by Elias M. Stein; Rami Shakarchi. Publisher: Princeton University Press. ISBN: 069111384X

Topics: We will begin with the basic theory of Fourier series and Fourier integrals including their different type of convergence. Having developed these ideas, which lie at the core of harmonic analysis, we will proceed with applications to certain differential equations. This will lead us to the theory of harmonic functions both on the disc and the half-plane. If time permits, we will discuss generalizations of these topics to higher dimensions. The course is not set in stone - any relevant suggestions are welcome.