Job J. Kuit

activity

20182025

collaborators

6 papers

math.RT2025

On norms on Harish-Chandra modules

Joseph Bernstein, Pritam Ganguly, Bernhard Krötz +2

The Casselman-Wallach theorem is a foundational result in the theory of representations of real reductive groups connecting algebraic representations to topological representations…

math.RT2024

On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces

Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull

In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory fo…

math.RT2022

The most continuous part of the Plancherel decomposition for a real spherical space

Job J. Kuit, Eitan Sayag

In this article we give a precise description of the Plancherel decomposition of the most continuous part of $L^{2} (Z)$ for a real spherical homogeneous space $Z$ . Our starting poi…

math.RT2021

Discrete series representations with non-tempered embedding

Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull

We give an example of a semisimple symmetric space $G / H$ and an irreducible representation of $G$ which has multiplicity 1 in $L^{2} (G / H)$ and multiplicity 2 in $C^{\infty} (G / H)$ .

math.RT2018

$K$ -invariant cusp forms for reductive symmetric spaces of split rank one

Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull

Let $G / H$ be a reductive symmetric space of split rank $1$ and let $K$ be a maximal compact subgroup of $G$ . In a previous article the first two authors introduced a notion of cusp…

math.RT2018

Cuspidal integrals and subseries for $SL (3) / K_{ε}$

Mogens Flensted-Jensen, Job J. Kuit

We show that for the symmetric spaces $SL (3, R) / SO (1, 2)_{e}$ and $SL (3, C) / SU (1, 2)$ the cuspidal integrals are absolutely conver…