Geometric counting on wavefront real spherical spaces
| Autor: | Krötz, Bernhard, Sayag, Eitan, Schlichtkrull, Henrik |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Acta Math. Sinica 34(3) (2018), 488-531 |
| Druh dokumentu: | Working Paper |
| Popis: | We provide $L^p$-versus $L^\infty$-bounds for eigenfunctions on a real spherical space $Z$ of wavefront type. It is shown that these bounds imply a non-trivial error term estimate for lattice counting on $Z$. The paper also serves as an introduction to geometric counting on spaces of the mentioned type. Section 7 on higher rank is new and extends the result from v1 to higher rank. Final version. To appear in Acta Math. Sinica. Comment: 46 pages |
| Databáze: | arXiv |
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