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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Abstract

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
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 14 Jan 2011 11:13
Last Modified: 26 Apr 2022 09:53
URI: https://research.sabanciuniv.edu/id/eprint/16308

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