J. Tanis
Uniform Bounds for Period Integrals and Sparse Equidistribution
Tanis, J.; Vishe, P.
Abstract
Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectral methods to get uniform (i.e., independent of spectral gap) bounds for twisted averages of f along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on M.
Citation
Tanis, J., & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices, 2015(24), 13728-13756. https://doi.org/10.1093/imrn/rnv115
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 31, 2015 |
Online Publication Date | Apr 30, 2015 |
Publication Date | Apr 30, 2015 |
Deposit Date | Dec 30, 2015 |
Publicly Available Date | Sep 13, 2017 |
Journal | International Mathematics Research Notices |
Print ISSN | 1073-7928 |
Electronic ISSN | 1687-0247 |
Publisher | Oxford University Press |
Peer Reviewed | Peer Reviewed |
Volume | 2015 |
Issue | 24 |
Pages | 13728-13756 |
DOI | https://doi.org/10.1093/imrn/rnv115 |
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Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in International mathematics research notices following peer review. The version of record Tanis, J. & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices 2015(24): 13728-13756 is available online at: https://doi.org/10.1093/imrn/rnv115
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