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math.FA2026
Dynamic Nevanlinna-Pick Theory, Covariance Dilations, and Non-commutative Varieties
Sourav Ghosh, Haripada Sau
We establish a dynamic generalization of Nevanlinna-Pick interpolation for functions invariant under the action of a finite Blaschke product , reducing global bounded holomorphi…
math.FA2025
Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
Sourav Ghosh
In this note, we develop a parallel theory of the classical Sz.-Nagy--Foias dilation and model theory for a single contraction operator in the setting of pairs of \em{-commuting…