Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains

Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains

This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebr...

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Veröffentlicht in:arXiv.org 2005-09
Hauptverfasser: Kisil, Vladimir V, Biswas, Debapriya
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Sprache:eng
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Analytic functions
Domains
Hyperbolic functions
Mathematical analysis
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description This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebras of matching types. Keywords: analytic function theory, semisimple groups, elliptic, parabolic, hyperbolic, Clifford algebras
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subjects Analytic functions
Domains
Hyperbolic functions
Mathematical analysis
title Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains
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