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Analytic continuation of Flensted-Jensen representations

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Abstract

LetX=G/H be an affine symmetric space of Hermitian type. For modules in the analytic continuation of the scalar holomorphic discrete series forG, we show existence and uniqueness (that is, a multiplicity one result) of imbeddings into functions onX. The corresponding intertwining operators are analyzed using our previous methods for discrete series. In a slightly less explicit way, we also give the analogous results for the continuation of the general discrete series.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Göttingen, Bunsenstraße 3/5, D-3400, Göttingen, BRD

    Gestur 'Olafsson

  2. Matematisk Institut, Odense Universitet, Campusvej 55, DK-5230, Odense M, Danmark

    Bent Ørsted

Authors
  1. Gestur 'Olafsson
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  2. Bent Ørsted
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'Olafsson, G., Ørsted, B. Analytic continuation of Flensted-Jensen representations. Manuscripta Math 74, 5–23 (1992). https://doi.org/10.1007/BF02567654

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  • DOI: https://doi.org/10.1007/BF02567654

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