The Existence of Universal Inner Functions on the Unit Ball of Cn
Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 409-413
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It is shown that there exists an inner function $I$ defined on the unit ball ${{\text{B}}^{n}}$ of ${{\mathbb{C}}^{n}}$ such that each function holomorphic on ${{\text{B}}^{n}}$ and bounded by 1 can be approximated by “non-Euclidean translates” of $I$ .
Gauthier, P. M.; Xiao, J. The Existence of Universal Inner Functions on the Unit Ball of Cn. Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 409-413. doi: 10.4153/CMB-2005-038-4
@article{10_4153_CMB_2005_038_4,
author = {Gauthier, P. M. and Xiao, J.},
title = {The {Existence} of {Universal} {Inner} {Functions} on the {Unit} {Ball} of {Cn}},
journal = {Canadian mathematical bulletin},
pages = {409--413},
year = {2005},
volume = {48},
number = {3},
doi = {10.4153/CMB-2005-038-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-038-4/}
}
TY - JOUR AU - Gauthier, P. M. AU - Xiao, J. TI - The Existence of Universal Inner Functions on the Unit Ball of Cn JO - Canadian mathematical bulletin PY - 2005 SP - 409 EP - 413 VL - 48 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-038-4/ DO - 10.4153/CMB-2005-038-4 ID - 10_4153_CMB_2005_038_4 ER -
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