The Łojasiewicz exponent of an analytic mapping of two complex variables at an isolated zero
Jacek Chadzyński, Tadeusz Krasiński (1988)
Banach Center Publications
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Jacek Chadzyński, Tadeusz Krasiński (1988)
Banach Center Publications
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Tran Ngoc Giao (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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John Wermer (1985)
Annales Polonici Mathematici
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Wojciech Kucharz (1986)
Journal für die reine und angewandte Mathematik
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T. C. Kuo (1988)
Banach Center Publications
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Arkadiusz Lewandowski (2012)
Annales Polonici Mathematici
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The main result of the paper is a new Hartogs type extension theorem for generalized (N,k)-crosses with analytic singularities for separately holomorphic functions and for separately meromorphic functions. Our result is a simultaneous generalization of several known results, from the classical cross theorem, through the extension theorem with analytic singularities for generalized crosses, to the cross theorem with analytic singularities for meromorphic functions.
Otto Liess (1988)
Mathematische Zeitschrift
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Juhani Riihentaus (1978)
Mathematische Zeitschrift
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Nguyen Thanh Van (2003)
Annales Polonici Mathematici
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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
P. Tworzewski, T. Winiarski (1983)
Annales Polonici Mathematici
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Małgorzata Zajęcka (2012)
Colloquium Mathematicae
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The aim of this paper is to present an extension theorem for (N,k)-crosses with pluripolar singularities.
Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jacek Stasica (2003)
Annales Polonici Mathematici
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Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.
Jesùs M. Ruiz (1986)
Publications mathématiques et informatique de Rennes
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Herwig Hauser, Gerd Müller (1990)
Compositio Mathematica
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Akira Kaneko (1992)
Banach Center Publications
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