Browsing by Author "Yeneabat, Shiferaw"

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    Thesis on Fourier analysis and the Dirichlet problem
    (Addis Ababa University, 2017-09) Yeneabat, Shiferaw; Legesse, Hunduma (PhD)
    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