Functions Universal for all Translation Operators in Several Complex Variables
Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 462-469
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We prove the existence of a (in fact many) holomorphic function $f$ in ${{\mathbb{C}}^{d}}$ such that, for any $a\ne 0$ , its translations $f(\cdot +na)$ are dense in $H({{\mathbb{C}}^{d}})$ .
Bayart, Frédéric; Gauthier, Paul M. Functions Universal for all Translation Operators in Several Complex Variables. Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 462-469. doi: 10.4153/CMB-2016-069-4
@article{10_4153_CMB_2016_069_4,
author = {Bayart, Fr\'ed\'eric and Gauthier, Paul M},
title = {Functions {Universal} for all {Translation} {Operators} in {Several} {Complex} {Variables}},
journal = {Canadian mathematical bulletin},
pages = {462--469},
year = {2017},
volume = {60},
number = {3},
doi = {10.4153/CMB-2016-069-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-069-4/}
}
TY - JOUR AU - Bayart, Frédéric AU - Gauthier, Paul M TI - Functions Universal for all Translation Operators in Several Complex Variables JO - Canadian mathematical bulletin PY - 2017 SP - 462 EP - 469 VL - 60 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-069-4/ DO - 10.4153/CMB-2016-069-4 ID - 10_4153_CMB_2016_069_4 ER -
%0 Journal Article %A Bayart, Frédéric %A Gauthier, Paul M %T Functions Universal for all Translation Operators in Several Complex Variables %J Canadian mathematical bulletin %D 2017 %P 462-469 %V 60 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-069-4/ %R 10.4153/CMB-2016-069-4 %F 10_4153_CMB_2016_069_4
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