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A note on relation between Azukawa isometries at one point and global biholomorphisms

100%
Zajęcka M.
Universitatis Iagellonicae Acta Mathematica
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2012
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vol. 50
EN
We prove that under certain assumptions holomorphic functions which are Azukawa isometries at one point are in fact biholomorphisms.
2
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A note on singularity of fibers of singular sets

100%
Zajęcka M.
Czasopismo Techniczne
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-
PL
The paper presents a general theorem on fibers of singular sets: Let D1 be a connected σ-compact Josefson manifold and let D2 be a σ-compact complex manifold. Let Ω⊂D1×D2 be a domain and let Ω⊂M be a singular set with respect to the family Ƒ⊂
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A generalisation of the Chirka-Sadullaev theorem for complex manifolds

100%
Zajęcka M.
Czasopismo Techniczne
|
-
PL
The aim of this paper is to generalize the Chirka-Sadullaev theorem, fundamental in the theory of extension of separately holomorphic functions with singularities, to the case of a s-compact Josefson manifold.
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