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Sharp Garding inequality on compact Lie groups

Functional Analysis 2014-12-30 v2 Analysis of PDEs Representation Theory

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 L2L^2 and Sobolev boundedness of pseudo-differential operators.

Keywords

Cite

@article{arxiv.1007.0588,
  title  = {Sharp Garding inequality on compact Lie groups},
  author = {Michael Ruzhansky and Ville Turunen},
  journal= {arXiv preprint arXiv:1007.0588},
  year   = {2014}
}

Comments

18 pages

R2 v1 2026-06-21T15:44:19.070Z