TY - THES A1 - Nguyen, Manh Hung T1 - µ-Hyperholomorphic Function Theory in R³: Geometric Mapping Properties and Applications N2 - 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. KW - mathematics KW - harmonic KW - quaternion KW - elasticity KW - geometry KW - Mathematik Y1 - 2015 UR - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2447 UR - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20150817-24477 ER -