Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin.
David E. Barrett (1984)
Commentarii mathematici Helvetici
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David E. Barrett (1984)
Commentarii mathematici Helvetici
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Gilberto Dini, Angela Selvaggi Primicerio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Lappan (1966/67)
Commentarii mathematici Helvetici
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Łukasz Kosiński (2009)
Annales Polonici Mathematici
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F. Berteloot, S. Pinchuk (1995)
Mathematische Zeitschrift
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Łukasz Kosiński (2007)
Annales Polonici Mathematici
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A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in ℂ² with the logarithmic image equal to a strip or a half-plane is given.
Yifei Pan (1991)
Mathematische Zeitschrift
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Walter Rudin (1978)
Commentarii mathematici Helvetici
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Glenn Schober, Walter Hengartner (1970)
Commentarii mathematici Helvetici
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Franc Forstneric, Josip Globevnik (1992)
Commentarii mathematici Helvetici
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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.
Bernard Coupet, Nabil Ourimi (2001)
Publicacions Matemàtiques
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We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in C. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.
P. Pflug, M. Jarnicki (1985)
Annales Polonici Mathematici
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