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arXiv · 1703.10947

Geometric counting on wavefront real spherical spaces

Bernhard Krötz·Eitan Sayag·Henrik Schlichtkrull
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Abstract

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.

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BibTeXRIS

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull. 2017-03-31. Geometric counting on wavefront real spherical spaces. https://arxiv.org/abs/1703.10947

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