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 R. Malonek, Prof. Dr. Rolf Sören Kraußhar |
| Advisor: | Prof. Dr. rer. nat. habil. Klaus GürlebeckGND |
| Language: | English |
| 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 |
| Pagenumber: | 155 |
| Tag: | elasticity; geometry; harmonic; mathematics; quaternion |
| GND Keyword: | Mathematik |
| Dewey Decimal Classification: | 500 Naturwissenschaften und Mathematik |
| BKL-Classification: | 31 Mathematik |
| Licence (German): |  Creative Commons 4.0 - Namensnennung (CC BY 4.0) |