Partial differential equations on semisimple Lie groups
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- by Kenneth D. Johnson PDF
- Proc. Amer. Math. Soc. 60 (1976), 289-295 Request permission
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.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 289-295
- MSC: Primary 22E30; Secondary 43A85
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425016-7
- MathSciNet review: 0425016