A Kontinuitätssatz

Evgeni Chirka; Edgar Stout

Displaying similar documents to “A Kontinuitätssatz”

On proper discs in complex manifolds

Barbara Drinovec Drnovšek (2007)

Annales de l’institut Fourier

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Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.

Tensor fields and connections on holomorphic orbit spaces of finite groups.

Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)

Journal of Lie Theory

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On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Some remarks on holomorphic extension in infinite dimensions

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.

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Extension phenomena for holomorphic geometric structures.

Mckay, Benjamin (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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The fixed points of holomorphic maps on a convex domain

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 $ℂ^{n}$ 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.

Stability of the Bishop familyοf holomorphic discs

Wilhelm Klingenberg (1997)

Banach Center Publications

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Weil's formulae and multiplicity

Maria Frontczak, Andrzej Miodek (1991)

Annales Polonici Mathematici

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The integral representation for the multiplicity of an isolated zero of a holomorphic mapping $f : (ℂ^{n}, 0) \to (ℂ^{n}, 0)$ by means of Weil’s formulae is obtained.

A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles

Do Duc Thai, Nguyen Le Huong (1993)

Annales Polonici Mathematici

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We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.

Subordination theory for holomorphic mappings of several complex variables

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 $ℂ^{n}$ into $ℂ^{n}$ .