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Displaying similar documents to “El espacio de Montel de las funciones vectoriales armónicas en un dominio.”

Interpolación en espacios de funciones armónicas con desarrollos asintóticos.

Gaspar Mora Martínez (1989)

Collectanea Mathematica

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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...