Analyse conforme sur les algèbres de Jordan

DOI10.1017/S1446788700008831zbMath1019.17011MaRDI QIDQ4792826

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Publication date: 16 September 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conformal groupWeil representationJordan algebraprincipal seriesharmonic representation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Simple, semisimple Jordan algebras (17C20) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items (5)

Berezin kernels and analysis on Makarevich spaces ⋮ Rankin-Cohen brackets and representations of conformal Lie groups ⋮ Minimal representations via Bessel operators ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Analysis of minimal representations of \(\mathrm{SL}(n, \mathbb{R})\)

Cites Work

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• Bessel functions of matrix argument
• Analysis in matrix space and Speh's representations
• Cartan-Involutionen von halbeinfachen reellen Jordan-Tripelsystemen
• Degenerate principal series and compact groups
• Jordan algebras and generalized principal series representations
• A generalized Hecke identity
• Über eine Gruppe von rationalen Abbildungen
• Sur certains groupes d'opérateurs unitaires

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