Microlocal lifts of eigenfunctions on hyperbolic surfaces and trilinear invariant functionals

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dc.creatorReznikov, Andre
dc.date2004-04-16
dc.date.accessioned2026-07-07T05:07:29Z
dc.date.available2026-07-07T05:07:29Z
dc.descriptionS. Zelditch introduced an equivariant version of a pseudo-differential calculus on a hyperbolic Riemann surface. We recast his construction in terms of trilinear invariant functionals on irreducible unitary representations of PGL(2,R). This allows us to use certain properties of these functionals in the study of the action of pseudo-differential operators on eigenfunctions of the Laplacian on hyperbolic Riemann surfaces.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0404294
dc.identifierhttp://arxiv.org/abs/math/0404294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70876
dc.subjectAnalysis of PDEs
dc.subjectRepresentation Theory
dc.subject35P20; 22E45
dc.titleMicrolocal lifts of eigenfunctions on hyperbolic surfaces and trilinear invariant functionals
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