Rational Inner Functions in the Schur-Agler Class

Analysis Seminar
Wednesday, October 27, 2010 - 2:00pm
1 hour (actually 50 minutes)
Skiles 269
University of Alabama
The Schur-Agler class is a subclass of the bounded analytic functions on the polydisk with close ties to operator theory.  We shall describe our recent investigations into the properties of rational inner functions in this class. Non-minimality of transfer function realization, necessary and sufficient conditions for membership (in special cases), and low degree examples are among the topics we will discuss.