3 papers
math.CV2025
Pairs of Clark Unitary Operators on the Bidisk and their Taylor Joint Spectra
Palak Arora, Kelly Bickel, Constanze Liaw +1
We develop a Clark theory for commuting compressed shift operators on model spaces associated with inner functions on the bidisk, which exhibits both similarities and mar…
math.FA2022
An Optimal Approximation Problem For Free Polynomials
Palak Arora, Meric Augat, Michael Jury +1
Motivated by recent work on optimal approximation by polynomials in the unit disk, we consider the following noncommutative approximation problem: for a polynomial in freel…
math.FA2022
A Constructive Proof of NC Fejér-Riesz Theorem
Palak Arora
In this paper, we present a constructive proof of Popescu's non-commutative Fejér-Riesz theorem for non-commuting polynomials. We are considering non-commutating polynomial in left…