The fixed points of holomorphic maps on a convex domain

Do Duc Thai

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Displaying similar documents to “The fixed points of holomorphic maps on a convex domain”

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

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On proper discs in complex manifolds

Barbara Drinovec Drnovšek (2007)

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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.

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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.

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Oros, Georgia Irina (2005)

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Factorization of uniformly holomorphic functions

Luiza A. Moraes, Otilia W. Paques, M. Carmelina F. Zaine (1995)

Annales Polonici Mathematici

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Let E be a complex Hausdorff locally convex space such that the strong dual E’ of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states...