Geodesic
Approximation of sets defined by polynomials with holomorphic coefficients
Marcin Bilski1
1 Department of Mathematics and Computer Science Jagiellonian University 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 105 (2012) no. 2, pp. 199-207.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $X$ be an analytic set defined by polynomials whose coefficients $a_1,\ldots,a_s$ are holomorphic functions. We formulate conditions on sequences $\{a_{1,\nu}\},\ldots,\{a_{s,\nu}\}$ of holomorphic functions converging locally uniformly to $a_1,\ldots,a_s,$ respectively, such that the sequence $\{X_{\nu}\}$ of sets obtained by replacing $a_j$'s by $a_{j,\nu}$'s in the polynomials converges to $X.$
DOI : 10.4064/ap105-2-7
Keywords: analytic set defined polynomials whose coefficients ldots holomorphic functions formulate conditions sequences ldots holomorphic functions converging locally uniformly ldots respectively sequence sets obtained replacing polynomials converges

Marcin Bilski 1

1 Department of Mathematics and Computer Science Jagiellonian University 30-348 Kraków, Poland 
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Marcin Bilski. Approximation of sets defined by polynomials with holomorphic coefficients. Annales Polonici Mathematici, Tome 105 (2012) no. 2, pp. 199-207. doi : 10.4064/ap105-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ap105-2-7/

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