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µ-Hyperholomorphic Function Theory in R³: Geometric Mapping Properties and Applications

  • This thesis applies the theory of \psi-hyperholomorphic functions dened in R^3 with values in the set of paravectors, which is identified with the Eucledian space R^3, to tackle some problems in theory and practice: geometric mapping properties, additive decompositions of harmonic functions and applications in the theory of linear elasticity.

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Document Type:Doctoral Thesis
Author:M. Sc. Manh Hung Nguyen
DOI (Cite-Link):https://doi.org/10.25643/bauhaus-universitaet.2447Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20150817-24477Cite-Link
Referee: Helmuth Robert MalonekORCiDGND, Prof. Dr. Rolf Sören KraußharORCiDGND
Advisor:Prof. Dr. rer. nat. habil. Klaus GürlebeckGND
Date of Publication (online):2015/08/14
Date of first Publication:2015/08/14
Date of final exam:2015/07/24
Release Date:2015/08/17
Publishing Institution:Bauhaus-Universität Weimar
Granting Institution:Bauhaus-Universität Weimar, Fakultät Bauingenieurwesen
Institutes and partner institutions:Fakultät Bauingenieurwesen / Professur Angewandte Mathematik
Tag:elasticity; geometry; harmonic; mathematics; quaternion
GND Keyword:Mathematik
Dewey Decimal Classification:500 Naturwissenschaften und Mathematik
BKL-Classification:31 Mathematik
Licence (German):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)