The Plancherel formula for pseudo-Riemannian symmetric spaces of the universal covering group of SL(2,\({\mathbb{R}})\)

DOI10.1007/BF00968945zbMath0575.43006OpenAlexW2084546147WikidataQ115394728 ScholiaQ115394728MaRDI QIDQ1064506

Vladimir F. Molchanov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00968945

zbMATH Keywords

Plancherel formulaunitary representationsquasiregular representationpseudo-Riemannian symmetric spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (1)

An invariant trace formula for the universal covering group of \(\text{SL}(2,\mathbb{R})\)

Cites Work

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• Distributions spheriques sur les espaces hyperboliques
• Orbits on affine symmetric spaces under the action of the isotropy subgroups
• The Plancherel formula for the universal covering group of SL(R, 2)
• Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
• Representations of the universal covering group of SU(1,1) and their bilinear and trilinear invariant forms

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