Tanis, J. and Vishe, P. (2015) 'Uniform bounds for period integrals and sparse equidistribution.', International mathematics research notices., 2015 (24). pp. 13728-13756.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (438Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1093/imrn/rnv115 |
| Publisher 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 |
| Date accepted: | 31 March 2015 |
| Date deposited: | 13 September 2017 |
| Date of first online publication: | 30 April 2015 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
