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Abstract

First Part:

One of the proofs of Poisson's formula is analysed. This leads readily to a method of solving Dirichlet's problem explicitly in some new cases. The solution of Dirichlet's problem is equivalent to the conformal mapping of some given simply connected region on the interior of a circle. The new method for the solution of Dirichlet's problem is tested by the conformal mapping of an ellipse on a circle. Thus a result previously found by a different method by Szego is confirmed.

Item Type:	Thesis - Unspecified
Authors/Creators:	Howroyd, TD
Keywords:	Conformal mapping, Dirichlet problem, Hilbert space
Copyright Holders:	The Author
Copyright Information:	Copyright 1958 the Author - The University is continuing to endeavour to trace the copyright owner(s) and in the meantime this item has been reproduced here in good faith. We would be pleased to hear from the copyright owner(s).
Additional Information:	Thesis (M.Sc.)--University of Tasmania, 1959
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