H. Sau

activity

20132026

most citedHolomorphic functions on the symmetrized bidisk - realization, interpolation and extension

32 citations · 82 across the 23 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.OA2026

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

Sourav Ghosh, Haripada Sau

We investigate the classification of $C^{*}$ -algebras generated by pairs of isometries $(V_{1}, V_{2})$ satisfying $V_{1} V_{2} = q V_{2} V_{1}$ , where $q = e^{2 π i θ}$ with $θ$ irrational, up to unitary…

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 $f$ , reducing global bounded holomorphi…

math.FA2026

On de Branges--Rovnyak Kernels Admitting a Complete Pick Factor

Haripada Sau

For a contractive multiplier $φ$ in the multiplier algebra $M (k)$ of a kernel $k$ , the associated de Branges--Rovnyak kernel is given by $k^{φ} (x, y) = (1 - φ (x) φ (y)) k (x, y)$ .…

math.FA2026

Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra

B. Krishna Das, Poornendu Kumar, Haripada Sau

We introduce the notion of Cayley--Hamilton tuples: these are commuting operator tuples that are annihilated by a non-zero polynomial and such that its Taylor joint spectrum coinci…

A unitary invariant for C∗-algebras generated by isometries with a twisted commutation relation

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

On de Branges--Rovnyak Kernels Admitting a Complete Pick Factor

Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra

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