Holomorphic functions with singularities on algebraic sets.
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Do Duc Thai (1992)
Annales Polonici Mathematici
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We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.
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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Mckay, Benjamin (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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 .
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.
François Berteloot, Christophe Dupont, Laura Molino (2008)
Annales de l’institut Fourier
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We establish a Poincaré-Dulac theorem for sequences of holomorphic contractions whose differentials split regularly. The resonant relations determining the normal forms hold on the moduli of the exponential rates of contraction. Our results are actually stated in the framework of bundle maps. Such sequences of holomorphic contractions appear naturally as iterated inverse branches of endomorphisms of . In this context, our normalization result allows to estimate precisely...
Petrosyan, A.I. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Usher, Michael (2004)
Geometry & Topology
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