Iteration theory, compactly divergent sequences and commuting holomorphic maps
Marco Abate (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marco Abate (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Blair, David E., Korkmaz, Belgin (2009)
Beiträge zur Algebra und Geometrie
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L. Bernal-González (2005)
Studia Mathematica
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We prove the following result which extends in a somewhat "linear" sense a theorem by Kierst and Szpilrajn and which holds on many "natural" spaces of holomorphic functions in the open unit disk 𝔻: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in 𝔻 whose domain of holomorphy is 𝔻 except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full...
R. O., Jr. Wells (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marc Chaperon (1986)
Publications Mathématiques de l'IHÉS
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Xiang-Yu Zhou (1997)
Annales de l'institut Fourier
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Given a compact connected Lie group . For a relatively compact -invariant domain in a Stein -homogeneous space, we prove that the automorphism group of is compact and if is semisimple, a proper holomorphic self mapping of is biholomorphic.
Forstnerič, Franc, Lárusson, Finnur (2011)
The New York Journal of Mathematics [electronic only]
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Nikitina, T.N. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Franc Forstnerič (2004)
Annales de l’institut Fourier
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We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.