JournalsdmVol. 21pp. 627–660

The harmonic analysis of lattice counting on real spherical spaces

  • Bernhard Krötz

  • Eitan Sayag

  • Henrik Schlichtkrull

    spherical varieties, arXiv:1203.0039 Universität Paderborn Department of Mathematics Institut für Mathematik Ben Gurion University Warburger Straße 100 of the Negev 33098 Paderborn P.O.B. 653 Deutschland Be'er Sheva 84105, Israel
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Abstract

By the collective name of lattice counting we refer to a setup introduced in [DRS] that aims to establish a relationship between arithmetic and randomness in the context of affine symmetric spaces. In this paper we extend the geometric setup from symmetric to real spherical spaces and continue to develop the approach with harmonic analysis which was initiated in [DRS].

Cite this article

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull, The harmonic analysis of lattice counting on real spherical spaces. Doc. Math. 21 (2016), pp. 627–660

DOI 10.4171/DM/541