DOCUMENTA MATHEMATICA, Vol. 21 (2016), 627-660

B. Krötz, E. Sayag, H. Schlichtkrull

The Harmonic Analysis of Lattice Counting on Real Spherical Spaces

By the collective name of {\it 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].

2010 Mathematics Subject Classification: 22E40, 22E46, 43A85

Keywords and Phrases: Lattice counting, homogeneous spaces, real spherical spaces, spectral analysis

Full text: dvi.gz 68 k, dvi 221 k, ps.gz 427 k, pdf 371 k.