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

Piedad Guijarro Carranza

• 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).