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

Department of Mathematical Sciences

1 Citation (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.

Original language	English
Journal	Acta Mathematica Sinica. English series
Volume	34
Issue number	3
Pages (from-to)	488-531
ISSN	1439-8516
DOIs	https://doi.org/10.1007/s10114-017-7164-5
Publication status	Published - 1 Mar 2018

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title = "Geometric Counting on Wavefront Real Spherical Spaces",

abstract = "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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N2 - 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.

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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JO - Acta Mathematica Sinica. English series

JF - Acta Mathematica Sinica. English series

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Geometric Counting on Wavefront Real Spherical Spaces

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