Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact
[Les exponentielles forment une base des fonctions holomorphes discrètes sur un compact]
Mercat, Christian
Bulletin de la Société Mathématique de France, Tome 132 (2004), p. 305-326 / Harvested from Numdam
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Nous montrons que les exponentielles forment une base des fonctions holomorphes discrètes sur une carte critique compacte. Sur un convexe, les polynômes discrets forment également une base.

We show that discrete exponentials form a basis of discrete holomorphic functions on a finite critical map. On a combinatorially convex set, the discrete polynomials form a basis as well.

Publié le : 2004-01-01
DOI : https://doi.org/10.24033/bsmf.2467
Classification:  30G25,  52C26,  31C20,  39A12
Mots clés: fonctions holomorphes discrètes, fonctions analytiques discrètes, exponentielles 
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     author = {Mercat, Christian},
     title = {Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {132},
     year = {2004},
     pages = {305-326},
     doi = {10.24033/bsmf.2467},
     mrnumber = {2076370},
     zbl = {1080.30042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BSMF_2004__132_2_305_0}
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Mercat, Christian. Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact. Bulletin de la Société Mathématique de France, Tome 132 (2004) pp. 305-326. doi : 10.24033/bsmf.2467. http://gdmltest.u-ga.fr/item/BSMF_2004__132_2_305_0/

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