THE HYPERCOMPLEX SZEGÖ KERNEL METHOD FOR 3D MAPPING PROBLEMS

Grob, Dennis; Constales, Denis; Kraußhar, Rolf Sören

In this paper we present rudiments of a higher dimensional analogue of the Szegö kernel method to compute 3D mappings from elementary domains onto the unit sphere. This is a formal construction which provides us with a good substitution of the classical conformal Riemann mapping. We give explicit numerical examples and discuss a comparison of the results with those obtained alternatively by the Bergman kernel method.

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Grob, Dennis / Constales, Denis / Kraußhar, Rolf Sören: THE HYPERCOMPLEX SZEGÖ KERNEL METHOD FOR 3D MAPPING PROBLEMS. 2010.

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