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Unitary Representations of Lie Groups and Garding's Inequality
Journal article   Peer reviewed

Unitary Representations of Lie Groups and Garding's Inequality

Ola Bratteli, Fred M Goodman, Palle E. T Jorgensen and Derek W Robinson
Proceedings of the American Mathematical Society, Vol.107(3), pp.627-632
11/1989
DOI: 10.2307/2048158

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Abstract

We prove two versions of Garding's inequality for strongly elliptic operators in the enveloping Lie algebra associated with a unitary representation of a Lie group. We then deduce a characterization of the differential structure of the representation in terms of the elliptic operators.

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