Extension of Proper Holomorphic Mappings Past the Boundary.
Eric Bedford, Steve Bell (1985)
Manuscripta mathematica
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Eric Bedford, Steve Bell (1985)
Manuscripta mathematica
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Avner Dor (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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P. Pflug (1985)
Matematički Vesnik
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Viorel Vajaitu (1994)
Manuscripta mathematica
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Chiara Frosini, Fabio Vlacci (2007)
Annales Polonici Mathematici
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In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
L. A. Aĭzenberg, C. Rea (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Nikić (1988)
Matematički Vesnik
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Viorel Vajaitu (1996)
Manuscripta mathematica
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Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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S. Bell, E. Bedford (1985)
Mathematische Annalen
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Nabil Ourimi (2003)
Publicacions Matemàtiques
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In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].