Bounded projections and decompositions in spaces of holomorphic functions
M. Mateljević (1986)
Matematički Vesnik
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Displaying similar documents to “Isometries of some F-algebras of holomorphic functions on the upper half plane”
Bounded projections and decompositions in spaces of holomorphic functions
Holomorphic semigroups of holomorphic isometries
Edoardo Vesentini (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
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 a holomorphic solution of a singular partial differential equation with many simple poles
Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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Fixed points of holomorphic mappings for domains in Banach spaces.
Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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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.
Extension of separately holomorphic functions defined in non-open sets in the infinite dimensional case
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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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 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.
Holomorphic semigroups of holomorphic isometries
Edoardo Vesentini (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
A generalization of the Malgrange-Zerner theorem
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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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.
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...