L–distributions on symmetric spaces
نویسنده
چکیده
The notion of Lp–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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تاریخ انتشار 2006