Dilation and Functional Models for Pure ${\mathbf{\Theta }}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in ${\mathbf{\Theta }}_n$

Aparna Gupta, Shubhankar Mandal Avijit Pal, Bhaskar Paul

In this paper, we introduce the notion of a distinguished variety in the domain ${\mathbf{\Theta }}_n$. One of the main results of the paper is a determinantal representation for every disti…