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On Stein Neighborhood Bases and the Nebenhülle
Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This thesis consists of three parts. The first part is a introduction to the theory of domains of holomorphy through holomorphic convexity. The second part gives a introduction to Stein neighborhood bases in Cn and presents some minor results on the Nebenhülle of a compact set in Cn. The third and final part reviews some results on the existence of Stein neighborhood bases.

Abstract [sv]

Denna uppsats består av tre delar. Den första delen introducerar holomorfiområden genom teorin för konvexitet med avseende på holomorfa funktioner. Den andra delen är en introduktion till Steinomgivningsbaser i Cn och presenterar några smärre resultat rörande Nebenhüllet till en kompakt mängd i Cn. Den tredje och sista delen ger en överblick över en del resultat om existensen av Steinomgivningsbaser.

Place, publisher, year, edition, pages
2010. , 62 p.
Keyword [en]
several complex variables
Keyword [sv]
flera komplexa variabler
National Category
Mathematical Analysis
URN: urn:nbn:se:umu:diva-31704OAI: diva2:293981
Physics, Chemistry, Mathematics
Available from: 2010-02-15 Created: 2010-02-15 Last updated: 2010-02-15Bibliographically approved

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