|Title:||Fourier analysis and the Dirichlet Problem|
|???metadata.dc.contributor.*???:||Dr. Hunduma Legesse|
|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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