January 8, 2001

Daniel Alpay

Title: The Schur Algorithm and Reproducing Kernel Hilbert Spaces in the Ball

Abstract:

Using reproducing kernel Hilbert space methods we develop a Schur type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna-Pick interpolation problem in that class. This is joint work with V. Bolotnikov (William and Mary, Williamsburg) and T. Kaptanoglu (Middle East Technical University, Ankara).