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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Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
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We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
Peter Kiernan, Shoshichi Kobayashi (1972)
Inventiones mathematicae
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F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Franc Forstneric (1989)
Inventiones mathematicae
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James J., V Faran (1990)
Mathematische Zeitschrift
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Erik Low, John E. Fornaess (1986)
Mathematica Scandinavica
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S. Bell, E. Bedford (1985)
Mathematische Annalen
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Bernard Coupet (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
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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].