Analysis in $R^{1,1}$ or the Principal Function Theory

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dc.creatorKisil, Vladimir V.
dc.date1997-12-09
dc.date1997-12-14
dc.date.accessioned2026-07-07T03:24:40Z
dc.date.available2026-07-07T03:24:40Z
dc.descriptionWe explore a function theory connected with the principal series representation of SL(2,R) in contrast to standard complex analysis connected with the discrete series. We construct counterparts for the Cauchy integral formula, the Hardy space, the Cauchy-Riemann equation and the Taylor expansion. Keywords: Complex analysis, Cauchy integral formula, Hardy space, Taylor expansion, Cauchy-Riemann equations, Dirac operator, group representations, SL(2,R), discrete series, principal series, wavelet transform, coherent states.
dc.description25 pages, 2 figures. 14/12/97: Language corrections
dc.identifierhttps://arxiv.org/abs/funct-an/9712003
dc.identifierhttp://arxiv.org/abs/funct-an/9712003
dc.identifierComplex Variables Theory Appl., 40(1999), no.2, pp. 93--118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33417
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject30G35, 22E46
dc.titleAnalysis in $R^{1,1}$ or the Principal Function Theory
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