Geometric Counting on Wavefront Real Spherical Spaces

Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

doi:10.1007/s10114-017-7164-5

Geometric Counting on Wavefront Real Spherical Spaces

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Institut for Matematiske Fag

1 Citationer (Scopus)

Abstract

We provide L^p-versus L^∞-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.

Originalsprog	Engelsk
Tidsskrift	Acta Mathematica Sinica. English series
Vol/bind	34
Udgave nummer	3
Sider (fra-til)	488-531
ISSN	1439-8516
DOI	https://doi.org/10.1007/s10114-017-7164-5
Status	Udgivet - 1 mar. 2018

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10.1007/s10114-017-7164-5

https://arxiv.org/pdf/1703.10947.pdfLicens: Andet

Citationsformater

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AB - We provide Lp-versus L∞-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.

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Geometric Counting on Wavefront Real Spherical Spaces

Abstract

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