Geodesic restrictions of arithmetic eigenfunctions
نویسندگان
چکیده
منابع مشابه
Geodesic Restrictions of Arithmetic Eigenfunctions
Let X be an arithmetic hyperbolic surface arising from a quaternion division algebra over Q. Let be a Hecke–Maass form on X , and let ` be a geodesic segment. We obtain a power saving over the local bound of Burq, Gérard, and Tzvetkov for the L-norm of restricted to `, by extending the technique of arithmetic amplification developed by Iwaniec and Sarnak. We also improve the local bounds for va...
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We consider restrictions along closed geodesics and geodesic circles for eigenfunctions of the Laplace-Beltrami operator on a compact hyperbolic Riemann surface. We obtain a non-trivial bound on the L-norm of such restrictions as the eigenvalue tends to infinity. We use methods from the theory of automorphic functions and in particular the uniqueness of invariant functionals on irreducible unit...
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There are dierent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with innite alphabet. Then we will compare the topological complexity of them by computing their topological ...
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there are di erent ways to code the geodesic flows on surfaces with negative curvature. such code spaces give a useful tool to verify the dynamical properties of geodesic flows. here we consider special subspaces of geodesic flows on hecke surface whose arithmetic codings varies on a set with in nite alphabet. then we will compare the topological complexity of them by computing their topologica...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2016
ISSN: 0012-7094
DOI: 10.1215/00127094-3166736