Author

Sourav Ghosh

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Preprint Aug 2026

Dynamic Nevanlinna-Pick Theory, Covariance Dilations, and Non-commutative Varieties

We establish a dynamic generalization of Nevanlinna-Pick interpolation for functions invariant under the action of a finite Blaschke product $f$, reducing global bounded holomorphic extension on orbit spaces to structured block-kernel positivity. Furthermore, we demonstrate that membership in $H^\infty(\mathbb{D})$ is...

Sourav Ghosh, H. Sau · 0 citations

Preprint Sep 2026

A unitary invariant for $C^*$-algebras generated by isometries with a twisted commutation relation

We investigate the classification of $C^*$-algebras generated by pairs of isometries $(V_1, V_2)$ satisfying $V_1V_2=qV_2V_1$, where $q=e^{2\pi i\theta}$ with $\theta$ irrational, up to unitary equivalence. Using a functional model that realizes pure $q$-commuting pairs on vector-valued Hardy spaces in terms of a uniqu...

Sourav Ghosh, H. Sau · 0 citations