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Dirichlet's problem, conformal mapping and complete sets in Hilbert space.

Howroyd, TD 1958 , 'Dirichlet's problem, conformal mapping and complete sets in Hilbert space.', Unspecified thesis, University of Tasmania.

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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
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Copyright 1958 the Author - The University is continuing to endeavour to trace the copyright
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Thesis (M.Sc.)--University of Tasmania, 1959

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