Separately analytic functions and generalizations of Hartogs' theorem

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Taşyanar, Nalan (2009) Separately analytic functions and generalizations of Hartogs' theorem. [Thesis]

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Let D and G be arbitrary Stein manifolds, E ⊂ D and F ⊂ G compact sets, and X = (E X G) ∪ (D X F). Under certain general hypothesis it is proved that a function f on X which is separately analytic, i.e. for which f(z;w) is analytic in z in D for any fixed w ∈ F and analytic in w in G for any fixed z ∈ E, extends to an analytic function in some open neighbourhood ~X of X.

Item Type:Thesis
Uncontrolled Keywords:Separately analytic. -- Pluripotential theory. -- Spaces of analytic functions. -- Relative extremal functions. -- Hilbert scales. -- Hartogs' Theorem. -- Değişkene göre analitik. -- Çoklu potansiyel teorisi. -- Analitik fonksiyonlar uzayı. -- Hartogs teoremi.
Subjects:Q Science > QA Mathematics
ID Code:16308
Deposited By:IC-Cataloging
Deposited On:14 Jan 2011 11:13
Last Modified:25 Mar 2019 17:01

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