Microlocal Lifts of Eigenfunctions on Hyperbolic Surfaces and Trilinear Invariant Functionals
نویسنده
چکیده
In [Z1] S. 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 PGL2(R). This allows us to use certain properties of these functionals in the study of the action of pseudodifferential operators on eigenfunctions of the Laplacian on hyperbolic Riemann surfaces.
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