1 citations · 1 across the 4 of their papers we have counts for
6 papers
Filled Julia sets of Chebyshev polynomials
Jacob Stordal Christiansen, Christian Henriksen, Henrik Laurberg Pedersen +1
We study the possible Hausdorff limits of the Julia sets and filled Julia sets of subsequences of the sequence of dual Chebyshev polynomials of a non-polar compact set K in C and c…
Finite-gap CMV matrices: Periodic coordinates and a Magic Formula
Jacob S. Christiansen, Benjamin Eichinger, Tom VandenBoom
We prove a bijective unitary correspondence between 1) the isospectral torus of almost-periodic, absolutely continuous CMV matrices having fixed finite-gap spectrum and 2) special…
Szego's theorem on Parreau-Widom sets
Jacob S. Christiansen
In this paper, we generalize Szego's theorem for orthogonal polynomials on the real line to infinite gap sets of Parreau-Widom type. This notion includes Cantor sets of positive me…
A question by Chihara about shell polynomials and indeterminate moment problems
Christian Berg, Jacob S. Christiansen
The generalized Stieltjes--Wigert polynomials depending on parameters 0\le p<1 and 0<q<1 are discussed. By removing the mass at zero of the N-extremal solution concentrated in the…
Self-adjoint difference operators and symmetric Al-Salam--Chihara polynomials
Jacob S. Christiansen, Erik Koelink
The symmetric Al-Salam--Chihara polynomials for are associated with an indeterminate moment problem. There is a self-adjoint second order difference operator on …
Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem
Jacob S. Christiansen, Erik Koelink
The Stieltjes-Wigert polynomials, which correspond to an indeterminate moment problem on the positive half-line, are eigenfunctions of a second order q-difference operator. We cons…