Invariant eigendistributions on a semisimple Lie algebra
Harish-Chandra (1965)
Publications Mathématiques de l'IHÉS
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Harish-Chandra (1965)
Publications Mathématiques de l'IHÉS
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Lisiecki, Wojciech
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Nesterenko, Maryna O. (2006)
International Journal of Mathematics and Mathematical Sciences
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E. P. Van den Ban, H. Schlichtkrull (1993)
Compositio Mathematica
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François Rouvière (1990)
Compositio Mathematica
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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.