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Invariant Pseudodistances and Pseudometrics in Complex Analysis in Several Variables
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2003 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

At present time invariant pseudodistances and pseudometrics pose an important tool in complex analysis in several variables. This thesis is mainly devoted to giving a thorough definition of these objects and in particular to Schwarz-Pick systems such as the Carathéodory and Kobayashi pseudodistances.

Most basic properties, such as continuity and boundary behaviour, of the Carathéodory and Kobayashi pseudo-distances and pseudometrics are investigated. As an application of the theory, the thesis is concluded with a proof of the biholomorphic inequivalence between the unit ball and unit polydisc in Cn.

Place, publisher, year, edition, pages
2003. , 51 p.
National Category
URN: urn:nbn:se:umu:diva-51362OAI: diva2:479228
Physics, Chemistry, Mathematics
Available from: 2012-03-01 Created: 2012-01-17 Last updated: 2012-03-01Bibliographically approved

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