## The harmonic analysis of lattice counting on real spherical spaces

### Summary

Summary: 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].

### Mathematics Subject Classification

22E40, 22E46, 43A85

### Keywords/Phrases

lattice counting, homogeneous spaces, real spherical spaces, spectral analysis