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arXiv · 1307.1464

Global functional calculus for operators on compact Lie groups

Michael Ruzhansky·Jens Wirth
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Abstract

In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator. Consequently, we provide a symbolic descriptions of complex powers of such operators. As an application, we give a constructive symbolic proof of the Gårding inequality for operators in $(ρ,δ)$-classes in the setting of compact Lie groups.

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Michael Ruzhansky, Jens Wirth. 2014-02-24. Global functional calculus for operators on compact Lie groups. https://doi.org/10.1016/j.jfa.2014.04.009

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