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

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

Trans. Inst. Math. of the NAS of Ukraine, v. 1(2004), no.3, pp.100--118 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 o...

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Hauptverfasser: Kisil, Vladimir V, Biswas, Debapriya
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Complex Variables
Mathematics - Group Theory
Mathematics - Metric Geometry
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Zusammenfassung:Trans. Inst. Math. of the NAS of Ukraine, v. 1(2004), no.3, pp.100--118 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
DOI:10.48550/arxiv.math/0410399