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Title: Fourier analysis and the Dirichlet Problem
???metadata.dc.contributor.*???: Dr. Hunduma Legesse
Yeneabat, Shiferaw
Issue Date: Sep-2017
Publisher: Addis Ababa University
Abstract: In this thesis, using the properties of convergence of Fourier series and some other properties of trigonometric polynomials, in particular that they are sums of holomorphic and anti-holomorphic functions, we are able to solve the Dirichlet problem on the Disc. Then, applying the result for the unit Disc along with a couple of Möbius transformations, we are able to solve the Dirichlet problem on the upper half plane.
Description: A thesis submitted to Addis Ababa University Natural and Computational Sciences in partial fulfillment of the requirements for the degree of Master of Science in Mathematics
Appears in Collections:Thesis - Mathematics

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