Distributions vectorielles homog\`enes sur une alg\`ebre de Jordan
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study distributions on a Euclidean Jordan algebra V with values in a finite dimensional representation space for the identity component G of the structure group of V and homogeneous equivariance condition. We show that such distributions exist if and only if the representation is spherical, and that then the dimension of the space of these distributions is r+1 (where r is the rank of V). We give also construction of these distributions and of those that are invariant under the semi-simple part of G.
Keywords
Cite
@article{arxiv.0705.2156,
title = {Distributions vectorielles homog\`enes sur une alg\`ebre de Jordan},
author = {Bruno Blind},
journal= {arXiv preprint arXiv:0705.2156},
year = {2007}
}