54 citations · 112 across the 45 of their papers we have counts for
6 papers · 1 filter
Plancherel Formulae associated to Filtrations of Nilpotent Lie Groups
Joseph A Wolf
We study the conditions for a nilpotent Lie group to be foliated into subgroups that have square integrable (relative discrete series) unitary representations, that fit together to…
Separating Vector Bundle Sections by Invariant Means
Gestur Olafsson, Joseph A. Wolf
We sharpen the construction of representation space in the paper "Principal Series Representations of Infinite Dimensional Lie Groups II: Construction of Induced Representations".…
Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations
Joseph A. Wolf
We study representations of the classical infinite dimensional real simple Lie groups induced from factor representations of minimal parabolic subgroups . This makes strong…
Locally symmetric homogeneous Finsler spaces
Shaoqiang Deng, Joseph A. Wolf
Let be a connected Finsler space and the distance function of . A Clifford translation is an isometry of of constant displacement, in other words suc…
Principal Series Representations of Infinite Dimensional Lie Groups, I: Minimal Parabolic Subgroups
Joseph A. Wolf
We study the structure of minimal parabolic subgroups of the classical infinite dimensional real simple Lie groups, corresponding to the classical simple direct limit Lie algebras.…
A duality for the double fibration transform
Michael G. Eastwood, Joseph A. Wolf
We establish a duality within the spectral sequence that governs the holomorphic double fibration transform. It has immediate application to the questions of injectivity and range…