A Question of Divisibility of an Analytic Germ by a Polynomial

• Autores: Zofia Denkowska
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 1, Nº 2, 2000, págs. 157-162
• Idioma: español
• DOI: 10.1007/bf02969476
• Texto completo no disponible (Saber más ...)
• Resumen

  • The following question was asked: if $f$ is a germ of an analytic function, regular in $z$ and in $u$ in Weierstrass sense, is there a polynomial in $(z,u)$ with analytic coefficients, that divides $f$? The answer is negative, a counterexample is given.