20 citations · 116 across the 20 of their papers we have counts for
4 papers · 1 filter
The harmonic analysis of lattice counting on real spherical spaces
Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull
By the collective name of {\it lattice counting} we refer to a setup introduced in Duke-Rudnick-Sarnak that aim to establish a relationship between arithmetic and randomness in the…
Volume growth, temperedness and integrability of matrix coefficients on a real spherical space
Friedrich Knop, Bernhard Krötz, Eitan Sayag +1
We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on…
Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture
Avraham Aizenbud, Dmitry Gourevitch, Bernhard Krötz +1
Let be a real algebraic group acting equivariantly with finitely many orbits on a real algebraic manifold and a real algebraic bundle on . Let $\mathfrak{h…
Simple compactifications and polar decomposition of homogeneous real spherical spaces
Friedrich Knop, Bernhard Krötz, Eitan Sayag +1
Let Z be an algebraic homogeneous space Z=G/H attached to real reductive Lie group G. We assume that Z is real spherical, i.e., minimal parabolic subgroups have open orbits on Z. F…