Maximal cluster sets on spaces of holomorphic functions

This is an expository paper where we relate some aspects of the problem of looking for holomorphic functions with maximal cluster sets under the action of operators defined on spaces of holomorphic functions. Some functional generalizations of cluster sets, as well as special spaces of analytic func...

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Detalles Bibliográficos
Autor: Prado Bassas, José Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2004
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45727
Acceso en línea:http://hdl.handle.net/11441/45727
https://doi.org/10.1524/anly.2008.0914
Access Level:acceso abierto
Palabra clave:Maximal cluster sets
Functional cluster sets
Holomorphic monster
T-monster
Strong omnipresence
Total omnipresence
MRCS-property
Descripción
Sumario:This is an expository paper where we relate some aspects of the problem of looking for holomorphic functions with maximal cluster sets under the action of operators defined on spaces of holomorphic functions. Some functional generalizations of cluster sets, as well as special spaces of analytic functions, are also considered.