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

PDF

NalanTasyanar.pdf

Download (285kB)

NalanTasyanar.pdf

Download (285kB)

Official URL: http://192.168.1.20/record=b1276344 (Table of Contents)

## 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 |