Geodesic
Non-extendable Zero Sets of Harmonic and Holomorphic Functions
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 303-310

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In this paper we study the zero sets of harmonic functions on open sets in ${{\mathbb{R}}^{N}}$ and holomorphic functions on open sets in ${{\mathbb{C}}^{N}}$ . We show that the non-extendability of such zero sets is a generic phenomenon.
DOI : 10.4153/CMB-2015-059-1
Mots-clés : 31B25, 32A40, 32A60, 32D15, boundary behaviour, harmonic, holomorphic, zero sets 
Gauthier, P. M. Non-extendable Zero Sets of Harmonic and Holomorphic Functions. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 303-310. doi: 10.4153/CMB-2015-059-1
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     author = {Gauthier, P. M.},
     title = {Non-extendable {Zero} {Sets} of {Harmonic} and {Holomorphic} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {303--310},
     year = {2016},
     volume = {59},
     number = {2},
     doi = {10.4153/CMB-2015-059-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-059-1/}
}
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