Mathematics – Functional Analysis
Scientific paper
2007-05-15
Journal of Functional Analysis 208, 2 (03/2004) 482 - 507
Mathematics
Functional Analysis
Scientific paper
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.
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