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 2022Show all

5 papers · 1 filter

math.CV2022★ 1 cited

Determining sets for holomorphic functions on the symmetrized bidisk

B. Krishna Das, P. Kumar, H. Sau

This paper studies the determining sets for analytic functions from the symmetrized bidisk into the open unit disk in $C$ . It relates the idea to the uniqueness of the solu…

math.FA2022

Functional Models for Commuting Hilbert-space Contractions

Joseph A. Ball, Haripada Sau

We develop a Sz.-Nagy--Foias-type functional model for a commutative contractive operator tuple $T = (T_{1}, \dots, T_{d})$ having $T = T_{1} \dots T_{d}$ equal to a completel…

math.FA2022

Dilation theory and functional models for tetrablock contractions

Joseph A. Ball, Haripada Sau

A classical result of Sz.-Nagy asserts that a Hilbert space contraction operator $T$ can be dilated to a unitary $\cU$. A more general multivariable setting for these ideas is the…

math.FA2022

Toeplitz operators and Hilbert modules on the symmetrized polydisc

Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau

When is the collection of $S$ -Toeplitz operators with respect to a tuple of commuting bounded operators $S = (S_{1}, S_{2}, \dots, S_{d - 1}, P)$ , which has the symmetri…

math.FA2022

Models for q-commutative tuples of isometries

Joseph A. Ball, Haripada Sau

A pair of Hilbert space linear operators $(V_{1}, V_{2})$ is said to be $q$ -commutative, for a unimodular complex number $q$ , if $V_{1} V_{2} = q V_{2} V_{1}$ . A concrete functional model for $q$ -co…