11 citations · 11 across the 5 of their papers we have counts for
6 papers
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…
Zero-free regions near a line
Kelly Bickel, J. E. Pascoe, Meredith Sargent
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from pow…
Optimal approximants and orthogonal polynomials in several variables II: families of polynomials in the unit ball
Meredith Sargent, Alan A. Sola
We obtain closed expressions for weighted orthogonal polynomials and optimal approximants associated with the function and a scale of Hilbert f…
Optimal approximants and orthogonal polynomials in several variables
Meredith Sargent, Alan Sola
We discuss the notion of optimal polynomial approximants in multivariable reproducing kernel Hilbert spaces. In particular, we analyze difficulties that arise in the multivariable…
Escaping nontangentiality: Towards a controlled tangential amortized Julia-Carathéodory theory
J. E. Pascoe, Meredith Sargent, Ryan Tully-Doyle
Let be a complex analytic function. The Julia quotient is given by the ratio between the distance of to the boundary of and the distance of to t…
Carlson's Theorem for Different Measures
Meredith Sargent
We use an observation of Bohr connecting Dirichlet series in the right half plane to power series on the polydisk to interpret Carlson's theorem about integrals in t…