Sharp Garding inequality on compact Lie groups

Details Sharp Garding inequality on compact Lie groups Sharp Garding inequality on compact Lie groups

2010-07-04

arxiv.org/abs/1007.0588v2

J. Funct. Anal., 260 (2011), 2881-2901

Mathematics

Functional Analysis

18 pages

Scientific paper

In this paper the sharp Garding inequality is established on compact Lie
groups. The positivity condition is expressed in the non-commutative phase
space in terms of the full symbol, which is defined using the representations
of the group. Applications are given to the $L^2$ and Sobolev boundedness of
pseudo-differential operators.

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