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The Oka-Weil Theorem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We give a proof of the Oka-Weil theorem which states that on compact, polynomially convex subsets of Cn, holomorphic functions can be approximated uniformly by holomorphic polynomials.

Abstract [sv]

Vi ger ett bevis av Oka-Weil sats som säger att på kompakta och polynomkonvexa delmängder av Cn kan holomorfa funktioner approximeras likformigt med holomorfa polynom.

Place, publisher, year, edition, pages
2017.
Keywords [en]
several complex variables, holomorphic functions, polynomial convexity, Oka-Weil theorem, Oka extension theorem, differential forms
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-138760OAI: oai:DiVA.org:umu-138760DiVA, id: diva2:1137038
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Available from: 2017-09-13 Created: 2017-08-30 Last updated: 2017-09-13Bibliographically approved

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Mathematical Analysis

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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