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arXiv · 1007.0588

Sharp Garding inequality on compact Lie groups

Michael Ruzhansky·Ville Turunen
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Abstract

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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BibTeXRIS

Michael Ruzhansky, Ville Turunen. 2010-07-04. Sharp Garding inequality on compact Lie groups. https://doi.org/10.1016/j.jfa.2011.02.014

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