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

Möllers J, Ørsted B (2017)

Publication Type: Journal article

Publication year: 2017

Journal

International Mathematics Research Notices Oxford University Press (OUP): Policy H - Oxford Open Option A

Publisher: Oxford University Press (OUP): Policy H - Oxford Open Option A

Book Volume: 2017

Pages Range: 3209-3236

Journal Issue: 11

DOI: 10.1093/imrn/rnw119

Abstract

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.

Authors with CRIS profile

Jan Frahm Juniorprofessur für Mathematik (Darstellungstheorie und Operatoralgebren)

Involved external institutions

Aarhus University DK Denmark (DK)

How to cite

APA:

Möllers, J., & Ørsted, B. (2017). Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles. International Mathematics Research Notices, 2017(11), 3209-3236. https://dx.doi.org/10.1093/imrn/rnw119

MLA:

Möllers, Jan, and Bent Ørsted. "Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles." International Mathematics Research Notices 2017.11 (2017): 3209-3236.

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