Interpolación en espacios de funciones armónicas con desarrollos asintóticos.

Título inglés	Interpolation in spaces of harmonic functions with asymptotic expansions.
Título español	Interpolación en espacios de funciones armónicas con desarrollos asintóticos.
Autor/es	Mora Martínez, Gaspar
Organización	Univ. Nac. Educ. Distancia (UNED), Elche (Alicante), España
Revista	0010-0757
Publicación	1989, 40 (3): 277-287, 8 Ref.
Tipo de documento	articulo
Idioma	Español
Resumen inglés	The article puts up the problem of finding harmonic functions on a domain D, which for simplicity is a disk with the origin as a boundary point, continuous on D, and with arbitrary asymptotic harmonic expansion. To solve it, in the space Ac(D) of harmonic functions on D, continuous on D and with aymptotic harmonic expansion at 0, we define the topology Tc for which it is a Fréchet space. There we define the linear functionals which map each function to the coefficients of its asymptotic harmonic expansion. Let b be the linear span of these functionals; if lambda denotes the topology of uniform convergence on the compacts of Ac(D), we have that b is a Silva space and lambda coincides with the topology U, inductive limit of finite dimensional subspaces. These relations and the Hahn-Banach theorem lead us to solve the problem.
Clasificación UNESCO	120210
Palabras clave español	Funciones diferenciables ; Función armónica
Código MathReviews	MR1099245
Código Z-Math	Zbl 0742.30035
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