A counterexample to the Γ-interpolation conjecture

Adama S. Kamara. "A counterexample to the Γ-interpolation conjecture." Annales Polonici Mathematici 114.2 (2015): 115-121. <http://eudml.org/doc/280571>.

@article{AdamaS2015,
abstract = {Agler, Lykova and Young introduced a sequence $C_ν$, where ν ≥ 0, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc into the symmetrized bidisc Γ. They conjectured that condition $C_\{n-2\}$ is necessary and sufficient for the solvability of an n-point interpolation problem. The aim of this article is to give a counterexample to that conjecture.},
author = {Adama S. Kamara},
journal = {Annales Polonici Mathematici},
keywords = {Blaschke product; spectral Nevanlinna-Pick interpolation; symmetrized bidisc},
language = {eng},
number = {2},
pages = {115-121},
title = {A counterexample to the Γ-interpolation conjecture},
url = {http://eudml.org/doc/280571},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Adama S. Kamara
TI - A counterexample to the Γ-interpolation conjecture
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 2
SP - 115
EP - 121
AB - Agler, Lykova and Young introduced a sequence $C_ν$, where ν ≥ 0, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc into the symmetrized bidisc Γ. They conjectured that condition $C_{n-2}$ is necessary and sufficient for the solvability of an n-point interpolation problem. The aim of this article is to give a counterexample to that conjecture.
LA - eng
KW - Blaschke product; spectral Nevanlinna-Pick interpolation; symmetrized bidisc
UR - http://eudml.org/doc/280571
ER -