The moment-condition for the free boundary problem for functions
L. A. Aĭzenberg, C. Rea (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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L. A. Aĭzenberg, C. Rea (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Lev Aizenberg, Alexander Tumanov, Alekos Vidras (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Josip Globevnik, Edgar Lee Stout (1986)
Bulletin de la Société Mathématique de France
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Zbigniew Slodkowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
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;...
E. M. Chirka (2003)
Annales Polonici Mathematici
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If Σ is a compact subset of a domain Ω ⊂ ℂ and the cluster values on ∂Σ of a holomorphic function f in Ω∖Σ, f' ≢ 0, are contained in a compact null-set for the holomorphic Dirichlet class, then f extends holomorphically onto the whole domain Ω.