36 citations · 153 across the 21 of their papers we have counts for
4 papers · 1 filter
A convenient category of supermanifolds
Alexander Alldridge
With a view towards applications in the theory of infinite-dimensional representations of finite-dimensional Lie supergroups, we introduce a new category of supermanifolds. In this…
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…
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…
Convex polytopes and the index of Wiener-Hopf operators
Alexander Alldridge
We study the C-algebra of Wiener-Hopf operators on a cone with polyhedral base . As is known, a sequence of symbol maps may be defined, and their kernels give a fi…