期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 260, 期 10, 页码 2881-2901出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2011.02.014
关键词
Pseudo-differential operators; Compact Lie groups; Microlocal analysis; Garding inequality
类别
资金
- EPSRC [EP/G007233/1]
- EPSRC [EP/G007233/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G007233/1] Funding Source: researchfish
We establish the sharp Garding 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 L-2 and Sobolev boundedness of pseudo-differential operators. (C) 2011 Elsevier Inc. All rights reserved.
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