Geodesic
A counterexample to the $\varGamma $-interpolation conjecture
Adama S. Kamara1
1Département 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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