The harmonic analysis of lattice counting on real spherical spaces
Documenta mathematica, Tome 21 (2016), pp. 627-660
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].
Classification :
22E40, 22E46, 43A85
Mots-clés : homogeneous spaces, spectral analysis, lattice counting, real spherical spaces
Mots-clés : homogeneous spaces, spectral analysis, lattice counting, real spherical spaces
@article{10_4171_dm_541,
author = {Eitan Sayag and Bernhard Kr\"otz and Henrik Schlichtkrull},
title = {The harmonic analysis of lattice counting on real spherical spaces},
journal = {Documenta mathematica},
pages = {627--660},
year = {2016},
volume = {21},
doi = {10.4171/dm/541},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/541/}
}
TY - JOUR AU - Eitan Sayag AU - Bernhard Krötz AU - Henrik Schlichtkrull TI - The harmonic analysis of lattice counting on real spherical spaces JO - Documenta mathematica PY - 2016 SP - 627 EP - 660 VL - 21 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/541/ DO - 10.4171/dm/541 ID - 10_4171_dm_541 ER -
Eitan Sayag; Bernhard Krötz; Henrik Schlichtkrull. The harmonic analysis of lattice counting on real spherical spaces. Documenta mathematica, Tome 21 (2016), pp. 627-660. doi: 10.4171/dm/541
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