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Sharp Gårding inequality on compact Lie groups |
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| Authors: | Michael Ruzhansky Ville Turunen |
| Affiliation: | a Department of Mathematics, Imperial College London, 180 Queen?s Gate, London SW7 2AZ, United Kingdom b Aalto University, Institute of Mathematics, P.O. Box 1100, FI-00076 Aalto, Finland |
| Abstract: | We establish the sharp Gårding inequality on compact Lie groups. The positivity condition is expressed in the non-commutative phase space in terms of the full matrix symbol, which is defined using the representations of the group. Applications are given to the L2 and Sobolev boundedness of pseudo-differential operators. |
| Keywords: | Pseudo-differential operators Compact Lie groups Microlocal analysis Gå rding inequality |
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