Non-extendable holomorphic functions

P. Pflug

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Displaying similar documents to “Non-extendable holomorphic functions”

Intermediate holomorphy

M. Nikić (1988)

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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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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.

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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A generalization of the Malgrange-Zerner theorem

Ludwik M. Drużkowski (1980)

Annales Polonici Mathematici

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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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Approximation by proper holomorphic maps into convex domains

Avner Dor (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Bounded projections and decompositions in spaces of holomorphic functions

M. Mateljević (1986)

Matematički Vesnik

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A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions

Marek Jarnicki

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CONTENTS§1. Introduction.................................................................................................................5§2. Basic properties of δ-tempered holomorphic functions...............................................8§3. Holomorphic continuation and holomorphic retractions.............................................20§4. Continuation from regular neighbourhoods...............................................................32§5. Continuation from δ-regular submanifolds;...

Lineability and algebrability of the set of holomorphic functions with a given domain of existence

Thiago R. Alves (2014)

Studia Mathematica

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We show that if U is a domain of existence in a separable Banach space, then the set of holomorphic functions on U whose domain of existence is U is lineable and algebrable.

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.

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...