Hyperbolic Function Theory

descriptionPublicationkeyboard_double_arrow_right Article 09 Jun 2007 English Publisher:Springer Science and Business Media LLCJournal:Advances in Applied Clifford Algebras, volume 17, pages 437-450 (issn: 0188-7009, eissn: 1661-4909,

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Authors: Sirkka-Liisa Eriksson; Heinz Leutwiler;

doi: 10.1007/s00006-007-0044-9

Hyperbolic Function Theory

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Abstract

The aim of this article is to consider the hyperbolic version of the standard Clifford analysis. The need for such a modification arises when one wants to make sure that the power function x m is included. The leading idea is that the power function is the conjugate gradient of a harmonic function, defined with respect to the hyperbolic metric of the upper half space. In this paper we give a new approach to this hyperbolic function theory and survey some of its results.

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