Sharp Garding inequality on compact Lie groups
Ruzhansky, Michael · Turunen, Ville
Original · EN
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 L² and Sobolev boundedness of pseudo-differential operators.
English translation
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