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Displaying similar documents to “Some applications of invariant differential operators on a semi simple Lie algebra”

The Cauchy Harish-Chandra Integral, for the pair 𝔲 p , q , 𝔲 1

Andrzej Daszkiewicz, Tomasz Przebinda (2007)

Open Mathematics

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For the dual pair considered, the Cauchy Harish-Chandra Integral, as a distribution on the Lie algebra, is the limit of the holomorphic extension of the reciprocal of the determinant. We compute that limit explicitly in terms of the Harish-Chandra orbital integrals.