60 citations · 104 across the 3 of their papers we have counts for
4 papers
On the concept of inner function in Hardy and Bergman spaces in multiply connected domains
Catherine Bénéteau, Matthew Fleeman, Dmitry Khavinson +1
We discuss the notion of an inner function for spaces of analytic functions in multiply connected domains in , giving a historical overview and comparing several possib…
A free boundary problem associated with the isoperimetric inequality
Ar. Abanov, C. Beneteau, D. Khavinson +1
This paper proves a 30 year old conjecture that disks and annuli are the only domains where analytic content - the uniform distance from to analytic functions - achieves…
Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants
Catherine Bénéteau, Dmitry Khavinson, Constanze Liaw +2
We study connections between orthogonal polynomials, reproducing kernel functions, and polynomials minimizing Dirichlet-type norms for a given function . For $α…
Cyclicity in Dirichlet-type spaces and extremal polynomials
Catherine Bénéteau, Alberto Condori, Constanze Liaw +2
For functions in Dirichlet-type spaces we study how to determine constructively optimal polynomials that minimize among all polynomials of degree at mos…