Wave front sets of reductive Lie group representations

DOI10.1215/00127094-3167168zbMath1341.22008arXiv1308.1863OpenAlexW3106508799WikidataQ115240672 ScholiaQ115240672MaRDI QIDQ283526

Benjamin Harris, Hongyu He, Gestur Olafsson

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1308.1863

zbMATH Keywords

discrete seriesreductive Lie groupsingular spectrumwave front setinduced representationanalytic wave front setbranching problemreductive homogeneous spacetempered representation

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Irreducible Characters and Semisimple Coadjoint Orbits ⋮ Branching problems in reproducing kernel spaces ⋮ Wave front sets of reductive Lie group representations II ⋮ Wave front sets of reductive Lie group representations. III. ⋮ Approximation of nilpotent orbits for simple Lie groups

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