3 papers
math.CV2021
A survey of optimal polynomial approximants, applications to digital filter design, and related open problems
Catherine Bénéteau, Raymond Centner
In the last few years, the notion of optimal polynomial approximant has appeared in the mathematics literature in connection with Hilbert spaces of analytic functions of one or mor…
math.CV2019
Boundary behavior of optimal polynomial approximants
Catherine Bénéteau, Myrto Manolaki, Daniel Seco
In this paper, we provide an efficient method for computing the Taylor coefficients of , where denotes the optimal polynomial approximant of degree to in a…
math.CV2018
Simultaneous zero-free approximation and universal optimal polynomial approximants
Catherine Bénéteau, Oleg Ivrii, Myrto Manolaki +1
Let be a closed subset of the unit circle of measure zero. Recently, Beise and Müller showed the existence of a function in the Hardy space for which the partial sums of…