18 citations · 21 across the 6 of their papers we have counts for
6 papers
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…
Zeros of Holomorphic Functions in Commuting and Non-commuting Variables as Spectral Data
Poornendu Kumar, Jeet Sampat
We characterize the zero sets of functions in the Schur--Agler class over the unit polydisk as well as functions in the unit ball of the multiplier algebra of the Drury--Arveson sp…
Annihilating ideals and Agler--McCarthy spectral varieties in the bidisc
Raphaël Clouâtre, Poornendu Kumar
The closed unit bidisc is known to be a spectral set for any pair of commuting contractions. When each is pure and has finite defect, th…
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 . It relates the idea to the uniqueness of the solu…
Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk
B. Krishna Das, Poornendu Kumar, Haripada Sau
Starting with a solvable Nevanlinna-Pick interpolation problem with the initial data coming from the symmetrized bidisk, this paper studies the corresponding uniqueness set, i.e.,…
Distinguished Varieties Through the Berger--Coburn--Lebow Theorem
Tirthankar Bhattacharyya, Poornendu Kumar, Haripada Sau
A distinguished algebraic variety in has been the focus of much research in recent years because of good reasons. This note gives a different perspective. (1) We fin…