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Hardy space in two variables

2018-06-19
 

Academic Report

Title: Hardy space in two variables

Reporter: YANG Rongwei (SUNYat Albany)

Time: June 20, 2018 (Wednesday) AM 10:00-11:00

Location: 212-2# room, Graduate Building

Contact: YANG Yixin (tel:84708351-8135)

Abstract: The left evaluation operator maps the two-variable Hardy space H^2(D^2) to the classical one-variable Hardy space H^2(D). It enables us to reformulate Nagy-Foias operator model theory in H^2(D^2), thus bringing in classical operator theory techniques. On the other hand, it reduces some two variable problems in H^2(D^2) to one-variable and makes them easier to handle. In these talks we will review some properties and applications of the evaluation operator.

The brief introduction to the reporter: Rongwei Yang is a Professor of Mathematics at State University of New York at Albany, USA. His research interests include: multi-variable operator theory, several complex variables, Hermitian bundles, Chern-Weil homomorphism, cyclic cohomology.