Geodesic
A counterexample to the $\varGamma $-interpolation conjecture
Adama S. Kamara1
1 Département de Mathématiques et de Statistique Université Laval 1045 Avenue de la Médecine Québec, QC, Canada G1V 0A6
Annales Polonici Mathematici, Tome 114 (2015) no. 2, pp. 115-121.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Agler, Lykova and Young introduced a sequence $C_\nu $, where $\nu \geq 0$, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc $\mathbb D$ into the symmetrized bidisc $\varGamma $. 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.
DOI : 10.4064/ap114-2-2
Keywords: agler lykova young introduced sequence where geq necessary conditions solvability finite interpolation problem analytic functions unit disc mathbb symmetrized bidisc vargamma conjectured condition n necessary sufficient solvability n point interpolation problem article counterexample conjecture

Adama S. Kamara 1

1 Département de Mathématiques et de Statistique Université Laval 1045 Avenue de la Médecine Québec, QC, Canada G1V 0A6 
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Adama S. Kamara. A counterexample to the $\varGamma $-interpolation conjecture. Annales Polonici Mathematici, Tome 114 (2015) no. 2, pp. 115-121. doi : 10.4064/ap114-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap114-2-2/

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