27 citations · 201 across the 34 of their papers we have counts for
4 papers · 1 filter
Integration on Non-Compact Supermanifolds
Alexander Alldridge, Joachim Hilgert, Wolfgang Palzer
We investigate the Berezin integral of non-compactly supported quantities. In the framework of supermanifolds with corners, we give a general, explicit and coordinate-free repesent…
Minimal representations via Bessel operators
Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers
We construct an L^2-model of "very small" irreducible unitary representations of simple Lie groups G which, up to finite covering, occur as conformal groups Co(V) of simple Jordan…
Patterson--Sullivan distributions in higher rank
Sönke Hansen, Joachim Hilgert, Michael Schröder
For a compact locally symmetric space $\XG$ of non-positive curvature, we consider sequences of normalized joint eigenfunctions which belong to the principal spectrum of the algebr…
Harmonic analysis on Heisenberg--Clifford Lie supergroups
Alexander Alldridge, Joachim Hilgert, Martin Laubinger
We define a Fourier transform and a convolution product for functions and distributions on Heisenberg--Clifford Lie supergroups. The Fourier transform exchanges the convolution and…