Lp-distributions on symmetric spaces

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Title: Lp-distributions on symmetric spaces
Authors: Ruzhansky,M.,
Item Type: Journal Article
Abstract: 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 $ n$, hold on symmetric spaces. We give estimates for the convolutions.
Issue Date: 31-Dec-2003
URI: http://hdl.handle.net/10044/1/10279
ISSN: 1422-6383
Publisher: Springer
Start Page: 159
End Page: 168
Journal / Book Title: Results in Mathematics
Volume: 44
Copyright Statement: © 2003 Springer.
Publisher URL: http://arxiv.org/abs/math/0611570
Appears in Collections:Pure Mathematics

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