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

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dc.creatorKisil, Vladimir V.
dc.creatorBiswas, Debapriya
dc.date2004-10-18
dc.date2005-09-08
dc.date.accessioned2026-07-07T05:13:23Z
dc.date.available2026-07-07T05:13:23Z
dc.descriptionThis 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
dc.description14 pages, AMS-LaTeX, 31 PS graphcs in 7 Figures; v2--the missing PS file is included now; v3 minor corrections, reference added; v4 numerous misprints corrected
dc.identifierhttps://arxiv.org/abs/math/0410399
dc.identifierhttp://arxiv.org/abs/math/0410399
dc.identifierTrans. Inst. Math. of the NAS of Ukraine, v. 1(2004), no.3, pp.100--118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72926
dc.subjectComplex Variables
dc.subjectGroup Theory
dc.subjectMetric Geometry
dc.subject30G35, 22E46
dc.titleElliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains
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