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Harmonic mappings and applications to minimal surfaces

Posted on:1990-02-08Degree:Ph.DType:Dissertation
University:Indiana UniversityCandidate:Jun, Sook HeuiFull Text:PDF
GTID:1470390017954407Subject:Mathematics
Abstract/Summary:
armonic mappings arise in several areas of analysis and geometry. Our purpose is to study univalent harmonic functions defined in ;There are two inter-related parts. The first part looks at complex-valued harmonic mappings from the point of view of function theory. Estimates are given for all Fourier coefficients in a normalized class of mappings. Some explicit mappings are examined because of their extremal character. Furthermore, there are some theorems on harmonic mappings with geometric properties. As an application, the second part concerns nonparametric minimal surfaces in...
Keywords/Search Tags:Mappings, Minimal surfaces, Harmonic
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