Implicit function theorem for locally blow-analytic functions
[Théorème des fonctions implicites pour les fonctions localement "blow-analytiques"]
Paunescu, Laurentiu
Annales de l'Institut Fourier, Tome 51 (2001), p. 1089-1100 / Harvested from Numdam
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Nous montrons le théorème des fonctions implicites pour les fonctions localement "blow- analytiques" et, comme application de l'utilisation des homéomorphismes "blow- analytiques", nous donnons une méthode très facile pour résoudre les singularités des courbes analytiques.

In this paper we prove the implicit function theorem for locally blow-analytic functions, and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.

Publié le : 2001-01-01
DOI : https://doi.org/10.5802/aif.1846
Classification:  58C05,  58K99,  14Pxx
Mots clés: blow-analytique, arc-analytique 
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     author = {Paunescu, Laurentiu},
     title = {Implicit function theorem for locally blow-analytic functions},
     journal = {Annales de l'Institut Fourier},
     volume = {51},
     year = {2001},
     pages = {1089-1100},
     doi = {10.5802/aif.1846},
     zbl = {0996.58008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2001__51_4_1089_0}
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Paunescu, Laurentiu. Implicit function theorem for locally blow-analytic functions. Annales de l'Institut Fourier, Tome 51 (2001) pp. 1089-1100. doi : 10.5802/aif.1846. http://gdmltest.u-ga.fr/item/AIF_2001__51_4_1089_0/

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