The harmonic analysis of lattice counting on real spherical spaces
Documenta mathematica, Tome 21 (2016), pp. 627-660.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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].
Classification : 22E40, 22E46, 43A85
Keywords: lattice counting, homogeneous spaces, real spherical spaces, spectral analysis
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     title = {The harmonic analysis of lattice counting on real spherical spaces},
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     year = {2016},
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Krötz, Bernhard; Sayag, Eitan; Schlichtkrull, Henrik. The harmonic analysis of lattice counting on real spherical spaces. Documenta mathematica, Tome 21 (2016), pp. 627-660. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a27/