EUDML | Some applications of invariant differential operators on a semi simple Lie algebra

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

Invariant eigendistributions on a semisimple Lie algebra

Harish-Chandra (1965)

Publications Mathématiques de l'IHÉS

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Blattner-Kostant-Sternberg pairing and Fourier transform on symmetric spaces

Lisiecki, Wojciech

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Transformation groups on real plane and their differential invariants.

Nesterenko, Maryna O. (2006)

International Journal of Mathematics and Mathematical Sciences

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Convexity for invariant differential operators on semisimple symmetric spaces

E. P. Van den Ban, H. Schlichtkrull (1993)

Compositio Mathematica

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Invariant analysis and contractions of symmetric spaces. Part I

François Rouvière (1990)

Compositio Mathematica

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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.