Clark Measures for Rational Inner Functions on the Polydisk by Prof. Palak Arora, Williams College

Abstract: Classical Clark theory is closely connected to a number of topics in operator theory and complex function theory on the unit disk. In this talk, I will give a gentle introduction of Aleksandrov-Clark measures in one-variable. Then we will look at a generalization of Clark measures on the bidisk and polydisk, which are cartesian products of unit disk, associated with multi-variable rational inner functions along with a concrete example.