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Some formulas for the canonical kernel function - MaRDI portal

Some formulas for the canonical kernel function (Q5948685)

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scientific article; zbMATH DE number 1671584
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Some formulas for the canonical kernel function
scientific article; zbMATH DE number 1671584

    Statements

    Some formulas for the canonical kernel function (English)
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    7 November 2002
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    We quote the author's abstract: In this paper we present some expressions for the canonical kernel function of a bounded symmetric domain. We show how it is related both to the reproducing kernel of a holomorphic discrete series representation and to the contravariant form on highest weight modules over semisimple Lie algebras of Hermitian type.
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    semisimple groups
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    bounded symmetric domain
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    reproducing kernel
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