A Kontinuitätssatz
Evgeni Chirka, Edgar Stout (1995)
Banach Center Publications
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Evgeni Chirka, Edgar Stout (1995)
Banach Center Publications
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Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)
Journal of Lie Theory
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Denkowski, Maciej P. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Barbara Drinovec Drnovšek (2007)
Annales de l’institut Fourier
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Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
Wilhelm Klingenberg (1997)
Banach Center Publications
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Pham Ban (1994)
Colloquium Mathematicae
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In finite-dimensional complex analysis, the extension of holomorphic maps has been investigated by many authors. In recent years some authors have considered this problem in the infinite-dimensional case. The aim of the present note is to study the extension of holomorphic maps with values in some Banach complex manifolds.
Hidetoshi Tahara (1996)
Banach Center Publications
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1. Introduction. The study of singularities has been one of the main subjects of research in partial differential equations. In the case of linear equations the singularities are now pretty well understood; but in the nonlinear case there seems to be still very few studies. In this paper I want to discuss the singularities of solutions of a class of nonlinear singular partial differential equations in the complex domain. The class is only a model, but it helps one understand that the...
Gabriela Kohr, Mirela Kohr-Ile (1996)
Banach Center Publications
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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in into .
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Eric Westenberger (2005)
Revista Matemática Complutense
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In this paper we present constructions of real hypersurfaces with many simple singularities and deduce an asymptotical optimal existence result for hypersurfaces corresponding to T-smooth germs of the equisingular stratum. We proceed along the lines of Shustin-Westenberge (2004) where analogous results were shown for the complex case.
Mckay, Benjamin (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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