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Título:
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The spaces of analytic functions on open subsets of RN and CN
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Autores:
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Ansemil, José María M. ;
Ponte, Socorro ;
López-Salazar Codes, Jerónimo
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Tipo de documento:
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texto impreso
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Editorial:
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European Mathematical Society, 2015
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Tipo = Artículo
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Resumen:
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This paper is devoted to studying the space A(U) of all analytic functions on an open subset U of ?? or ??. It is proved that if U satisfies a weak condition (that will be called the 0-property), then every f ? A(U) depends only on afinite number of variables. Several topologies on A(U) are then studied: the compact-open topology, the T? topology (already known in spaces of holomorphic functions) and a new one, defined by the inductive limit of the subspaces of analytic functions which only depend on a finite number of variables.
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