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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| creator | Kisil, Vladimir V Biswas, Debapriya |
| description | 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_str_mv | 10.48550/arxiv.math/0410399 |
| format | Article |
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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,
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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.
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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</abstract><doi>10.48550/arxiv.math/0410399</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Complex Variables Mathematics - Group Theory Mathematics - Metric Geometry |
| title | Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains |
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