Local holomorphic extendability and non-extendability of -functions on smooth boundaries
John Erik Fornæss, Claudio Rea (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Julia Points and Strong Analytic Normality”
Local holomorphic extendability and non-extendability of -functions on smooth boundaries
The property (H) and (Ω) with the exponential representation of holomorphic functions.
Nguyen Minh Ha, Nguyen Van Khue (1994)
Publicacions Matemàtiques
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The main aim of this paper is to prove that a nuclear Fréchet space E has the property (H) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
On holomorphic functions of polynomial growth in a bounded domain
Raghavan Narasimhan (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Extensions of holomorphic motions
Zbigniew Slodkowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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On fixed points of holomorphic type
Ewa Ligocka (2002)
Colloquium Mathematicae
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We study a linearization of a real-analytic plane map in the neighborhood of its fixed point of holomorphic type. We prove a generalization of the classical Koenig theorem. To do that, we use the well known results concerning the local dynamics of holomorphic mappings in ℂ².
Extension of separately holomorphic functions-a survey 1899-2001
Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
The edge of the wedge theorems and applications.
Chung, Soon-Yeong (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Bounded projections and decompositions in spaces of holomorphic functions
M. Mateljević (1986)
Matematički Vesnik
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Intermediate holomorphy
M. Nikić (1988)
Matematički Vesnik
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Extending holomorphic maps in infinite dimensions
Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
The image of a finely holomorphic map is pluripolar
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.