Geodesic
Universal Inner Functions on the Ball
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 481-486

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that given any sequence of automorphisms ${{\left( {{\phi }_{k}} \right)}_{k}}$ of the unit ball ${{\mathbb{B}}_{N}}$ of ${{\mathbb{C}}^{N}}$ such that $\left\| {{\phi }_{k}}\left( 0 \right) \right\|$ tends to 1, there exists an inner function $I$ such that the family of “non-Euclidean translates” ${{\left( I\,\text{o}\,{{\phi }_{k}} \right)}_{k}}$ is locally uniformly dense in the unit ball of ${{H}^{\infty }}\left( {{\mathbb{B}}_{N}} \right)$ .
DOI : 10.4153/CMB-2008-048-8
Mots-clés : 32A35, 30D50, 47B38, inner functions, automorphisms of the ball, universality 
Bayart, Frédéric. Universal Inner Functions on the Ball. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 481-486. doi: 10.4153/CMB-2008-048-8
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