Analysis in R 1 , 1 or the Principal Function Theory ∗

@inproceedings{Kisil2008AnalysisIR,
  title={Analysis in R 1 , 1 or the Principal Function Theory ∗},
  author={Vladimir V. Kisil and Petra Velikogo},
  year={2008}
}
We 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. ∗Supported by grant 3GP03196 of the FWO-Vlaanderen (Fund of Scientific ResearchFlanders), Scientific Research Network “Fundamental Methods and Technique in Mathematics” and grant INTAS 93–0322–Ext. 

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