The oscillator correspondence of orbital integrals, for pairs of type one in the stable range

DOI10.1215/S0012-7094-96-08201-0zbMath0859.22008OpenAlexW1568643699MaRDI QIDQ1919613

Tomasz Przebinda, Andrzej Daszkiewicz

Publication date: 5 September 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08201-0

zbMATH Keywords

Fourier transformrepresentationsorbital integralsdual pairHowe dualitywave front sets

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

Related Items (1)

Dual pairs and Kostant-Sekiguchi correspondence. I

Cites Work

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• Hyperfunctions and harmonic analysis on symmetric spaces
• The local structure of characters
• Orbital integrals in reductive groups
• Characters, dual pairs, and unitary representations
• The oscillator character formula for isometry groups of split forms in deep stable range
• Picard-Lefschetz theory and characters of a semisimple Lie group
• Transcending Classical Invariant Theory

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