Geodesic
Universal Power Series in CN
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 230-236

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DOI

We establish the existence of power series in ${{\mathbb{C}}^{N}}$ with the property that the subsequences of the sequence of partial sums uniformly approach any holomorphic function on any well chosen compact subset outside the set of convergence of the series. We also show that, in a certain sense, most series enjoy this property.
DOI : 10.4153/CMB-2011-009-3
Mots-clés : 32A05, 32E30 
Clouâtre, Raphaël. Universal Power Series in CN. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 230-236. doi: 10.4153/CMB-2011-009-3
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     author = {Clou\^atre, Rapha\"el},
     title = {Universal {Power} {Series} in {CN}},
     journal = {Canadian mathematical bulletin},
     pages = {230--236},
     year = {2011},
     volume = {54},
     number = {2},
     doi = {10.4153/CMB-2011-009-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-009-3/}
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