Compact families of holomorphic functions with asymptotic expansion in an open convex subset of Cn.

• Autores: Piedad Guijarro Carranza
• Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 10, Nº. 1, 1986, págs. 55-77
• Idioma: español
• Títulos paralelos:
  • Familias compactas de funciones holomorfas con desarrollo asintótico en abierto de Cn.
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• Resumen

  • Let U be an open convex subset of Cn, n belonging to N, such that the set of all polinomies is dense in the space of all holomorphic and complex functions on U, (H(U), t0), where t0 is the open-compact topology.

    We endow the space HK(U) of all holomorphic functions on U that have asymptotic expansion at the origin with a metric and we study a particular compact subset of HK(U).