Approximation of sets defined by polynomials with holomorphic coefficients
Marcin Bilski
Annales Polonici Mathematici, Tome 105 (2012), p. 199-207 / Harvested from The Polish Digital Mathematics Library
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Let X be an analytic set defined by polynomials whose coefficients a₁,...,as are holomorphic functions. We formulate conditions on sequences a1,ν,...,as,ν of holomorphic functions converging locally uniformly to a₁,...,as, respectively, such that the sequence Xν of sets obtained by replacing aj’s by aj,ν’s in the polynomials converges to X.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:280558 
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     title = {Approximation of sets defined by polynomials with holomorphic coefficients},
     journal = {Annales Polonici Mathematici},
     volume = {105},
     year = {2012},
     pages = {199-207},
     zbl = {1253.32004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-2-7}
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Marcin Bilski. Approximation of sets defined by polynomials with holomorphic coefficients. Annales Polonici Mathematici, Tome 105 (2012) pp. 199-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-2-7/