Speaker: 

Dr. Greg Knese

Institution: 

UC Irvine

Time: 

Tuesday, October 30, 2007 - 3:00pm

Location: 

MSTB 254

We present a new viewpoint (namely, reproducing kernels) and
new proofs for several recent results of J. Geronimo and H. Woerdeman
on orthogonal polynomials on the two dimenional torus (and related
subjects). In addition, we show how these results give a new proof of
the Pick interpolation theorem on the bidisk (Agler's theorem) and
Ando's inequality via an equivalent version proven by Cole and Wermer.
A simple necessary and sufficient condition for two variable
polynomial stability on the closed bidisk is also given.