Poornendu Kumar

activity

20202026

most citedDistinguished Varieties Through the Berger--Coburn--Lebow Theorem

18 citations · 21 across the 6 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CV2025

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…

math.FA2025

Annihilating ideals and Agler--McCarthy spectral varieties in the bidisc

Raphaël Clouâtre, Poornendu Kumar

The closed unit bidisc $D^{2}$ is known to be a spectral set for any pair $(T_{1}, T_{2})$ of commuting contractions. When each $T_{i}$ is pure and has finite defect, th…