Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Partial differential equations on semisimple Lie groups

Author: Kenneth D. Johnson
Journal: Proc. Amer. Math. Soc. 60 (1976), 289-295
MSC: Primary 22E30; Secondary 43A85
MathSciNet review: 0425016
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Abstract: Suppose G is a noncompact, connected, semisimple Lie group with finite center and K is a maximal compact subgroup. Let D be an Ad Kinvariant element in the complexified enveloping algebra of G. The main result of this paper gives criterion for when the map $ D:\mathcal{E}'(G) \rightharpoonup \mathcal{E}'(G)$ is injective, where $ \mathcal{E}'(G)$ is the space of compactly supported distributions on G.

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Article copyright: © Copyright 1976 American Mathematical Society