Microlocal lifts of eigenfunctions on hyperbolic surfaces and trilinear invariant functionals
Analysis of PDEs
2007-05-23 v1 Representation Theory
Abstract
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 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.
Cite
@article{arxiv.math/0404294,
title = {Microlocal lifts of eigenfunctions on hyperbolic surfaces and trilinear invariant functionals},
author = {Andre Reznikov},
journal= {arXiv preprint arXiv:math/0404294},
year = {2007}
}
Comments
24 pages