40 citations · 137 across the 22 of their papers we have counts for
25 papers
On the valence of logharmonic polynomials
Dmitry Khavinson, Erik Lundberg, Sean Perry
Investigating a problem posed by W. Hengartner (2000), we study the maximal valence (number of preimages of a prescribed point in the complex plane) of logharmonic polynomials, i.e…
A note on arclength null quadrature domains
Dmitry Khavinson, Erik Lundberg
We prove the existence of a roof function for arclength null quadrature domains having finitely many boundary components. This bridges a gap toward classification of arclength null…
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…
Remarks on Inner Functions and Optimal Approximants
Catherine Bénéteau, Matthew Fleeman, Dmitry Khavinson +2
We discuss the concept of inner function in reproducing kernel Hilbert spaces with an orthogonal basis of monomials and examine connections between inner functions and optimal poly…
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…
Dirichlet's problem with entire data posed on an ellipsoidal cylinder
Dmitry Khavinson, Erik Lundberg, Hermann Render
We consider the Dirichlet problem in an ellipsoidal cylinder when the data function is entire. Under an additional assumption that the order of the data function is less than one,…