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Maximal cluster sets along arbitrary curves
Authors:L Bernal-Gonzlez  M C Caldern-Moreno  J A Prado-Bassas
Institution:Departamento de Análisis Matemático, Universidad de Sevilla, Avenida Reina Mercedes Apdo. 1160, 41080, Sevilla, Spain
Abstract:The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.
Keywords:Cluster set  Curve tending to the boundary  Jordan domain  Dense linear manifold
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