Weighted Bergman inner products on subspaces of bounded symmetric domains (Developments in Representation Theory and Related Topics)

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Description

Let Hr(F) (F=R, C, H) be the space of Hermitian matrices, and we consider the bounded symmetric domain D⊂Hr(F)C. In this article we present a result on the computation of the weighted Bergman inner product on D of a polynomial on the subspace Hr', (F)⊕Hr"(F) and an exponential function on Hr(F). Also, as an application, we present a result on explicit construction of intertwining operators from representations of Sp(r, R)to those of the subgroup U(r', r").

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2139 148-164, 2019-12

    京都大学数理解析研究所

Details 詳細情報について

  • CRID
    1050567175332555008
  • NII Article ID
    120006888200
  • NII Book ID
    AN00061013
  • ISSN
    18802818
  • HANDLE
    2433/254914
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB
    • CiNii Articles

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