3 papers
math.RT2016
Non-Euclidean Fourier inversion on super-hyperbolic space
Alexander Alldridge, Wolfgang Palzer
For the super-hyperbolic space in any dimension, we introduce the non-Euclidean Helgason--Fourier transform. We prove an inversion formula exhibiting residue contributions at the p…
math.RT2014
Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspaces
Alexander Alldridge, Wolfgang Palzer
We compute the Harish-Chandra -function for a generic class of rank-one purely non-compact Riemannian symmetric superspaces in terms of Euler functions, proving that…
math.DG2011
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…