J. Aust. Math. Soc.
78 (2005), 273-290
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Topologies on spaces of vector-valued meromorphic functions
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Enrique Jordá
Departamento de Matemática Aplicada
E. Politécnica Superior de Alcoy
Universidad Politécnica de Valencia
Plaza Ferrándiz y Carbonell 2
E-03801 Alcoy (Alicante)
Spain
ejorda@mat.upv.es
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Abstract
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This paper presents two natural extensions of
the topology of the space of scalar meromorphic
functions described by Grosse-Erdmann in 1995 to spaces
of vector-valued meromorphic functions . When is locally complete and does not contain copies
of we compare these topologies with the topology
induced by the representation recently obtained by Bonet, Maestre and the
author.
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Australian Mathematical Publishing Association Inc.
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©
Australian MS
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