Interpolation, Invariant Subspaces, Models, and Corona Problems

University Of Alabama Tuscaloosa, Tuscaloosa AL

Investigators

Abstract

This proposal will focus attention on a variety of problems in interpolation, invariant subspaces, and model theory on reproducing kernel Hilbert spaces of analytic functions on domains in Cn. These problems connect operator theory and function theory. Examples of such problems are the corona problem on symmetric Fock space on the unti ball of Cn and the corona problem on Hardy space of the unit polydisc in Cn.