The harmonic analysis of lattice counting on real spherical spaces

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

By the collective name of lattice counting we refer to a setup introduced in [10] 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 [10].

Original languageEnglish
Pages (from-to)627-660
Number of pages34
JournalDocumenta Mathematica
Volume21
Issue number2016
StatePublished - 1 Jan 2016

Keywords

  • Homogeneous spaces
  • Lattice counting
  • Real spherical spaces
  • Spectral analysis

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