Topological tensor products and asymptotic developments
ISSN: 2258-7519
Año de publicación: 1999
Volumen: 8
Número: 2
Páginas: 281-295
Tipo: Artículo
Otras publicaciones en: Annales de la Faculté des sciences de Toulouse : Mathématiques
Resumen
The author shows that the space of holomorphic functions of several variables which have an asymptotic development in the classical sense of Poincaré and in the sense of Gevrey are nuclear spaces, and that they coincide with the complete tensor product of copies of the corresponding space in the one variable case. The space of multisummable series in one variable is also nuclear, thus allowing the author to define these spaces for several variables