Geodesic
Universal Singular Inner Functions
Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 17-21

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DOI

We show that there exists a singular inner function $S$ which is universal for noneuclidean translates; that is one for which the set $\{S(\frac{z\,+\,{{z}_{n}}}{1\,+\,{{{\bar{z}}}_{n}}z})\,:\,n\,\in \,\mathbb{N}\}$ is locally uniformly dense in the set of all zero-free holomorphic functions in $\mathbb{D}$ bounded by one.
DOI : 10.4153/CMB-2004-003-0
Mots-clés : 30D50 
Gorkin, Pamela; Mortini, Raymond. Universal Singular Inner Functions. Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 17-21. doi: 10.4153/CMB-2004-003-0
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     title = {Universal {Singular} {Inner} {Functions}},
     journal = {Canadian mathematical bulletin},
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     year = {2004},
     volume = {47},
     number = {1},
     doi = {10.4153/CMB-2004-003-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-003-0/}
}
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