Lp-distributions on symmetric spaces

Details Lp-distributions on symmetric spaces Lp-distributions on symmetric spaces

2006-11-19

arxiv.org/abs/math/0611570v1

Results Math. 44 (2003), 159--168

Mathematics

Functional Analysis

Scientific paper

The notion of $L^p$-distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the topology of the space of test functions in terms of the Laplace-Beltrami operator. The techniques are based on a-priori estimates for elliptic operators. We show that structure theorems, similar to $\Rn$, hold on symmetric spaces. We give estimates for the convolutions.

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