Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles

TY - JOUR

T1 - Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles

AU - Möllers, Jan

AU - Ørsted, Bent

PY - 2017

Y1 - 2017

N2 - We find estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles. The geodesic cycles we study are themselves hyperbolic manifolds of lower dimension. The restriction of an automorphic form to such a geodesic cycle can be expanded into eigenfunctions of the Laplacian on the geodesic cycle. We prove exponential decay for the coefficients in this expansion.

AB - We find estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles. The geodesic cycles we study are themselves hyperbolic manifolds of lower dimension. The restriction of an automorphic form to such a geodesic cycle can be expanded into eigenfunctions of the Laplacian on the geodesic cycle. We prove exponential decay for the coefficients in this expansion.

U2 - 10.1093/imrn/rnw119

DO - 10.1093/imrn/rnw119

M3 - Journal article

SN - 1073-7928

VL - 11

SP - 3209

EP - 3236

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 1

ER -