23 citations · 74 across the 30 of their papers we have counts for
Showing 2016 · math.CAShow all
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math.CA2016
On Szegő's theorem for a nonclassical case
Maxim Derevyagin, Brian Simanek
In this paper we prove Szegő's Theorem for the case when a finite number of Verblunsky coefficients lie outside the closed unit disk. Although a form of this result was already pro…
math.CA2016★ 15 cited
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems
Catherine Bénéteau, Dmitry Khavinson, Constanze Liaw +2
We study the structure of the zeros of optimal polynomial approximants to reciprocals of functions in Hilbert spaces of analytic functions in the unit disk. In many instances, we f…
math.CA2016
Two Universality Results for Polynomial Reproducing Kernels
Brian Simanek
We prove two new universality results for polynomial reproducing kernels of compactly supported measures. The first applies to measures on the unit circle with a jump and a singula…