B. Krötz

activity

20082023

most citedSimple compactifications and polar decomposition of homogeneous real spherical spaces

20 citations · 116 across the 20 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.RT2017

The infinitesimal characters of discrete series for real spherical spaces

Bernhard Krötz, Job J. Kuit, Eric M. Opdam +1

Let $Z = G / H$ be the homogeneous space of a real reductive group and a unimodular real spherical subgroup, and consider the regular representation of $G$ on $L^{2} (Z)$ . It is shown tha…

math.RT2017

Geometric counting on wavefront real spherical spaces

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

We provide $L^{p}$ -versus $L^{\infty}$ -bounds for eigenfunctions on a real spherical space $Z$ of wavefront type. It is shown that these bounds imply a non-trivial error term estimate…

math.RT2017★ 2 cited

The constant term of tempered functions on a real spherical space

Raphaël Beuzart-Plessis, Patrick Delorme, Bernhard Krötz +1

Let $Z$ be a unimodular real spherical space. We develop a theory of constant terms for tempered functions on $Z$ which parallels the work of Harish-Chandra. The constant terms $f_…