Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 267, Issue 1, Pages 144-172Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2014.04.009
Keywords
Functional calculus; Pseudo-differential operators; Compact Lie groups; Garding inequality
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Funding
- EPSRC Leadership Fellowship [EP/G007233/1]
- EPSRC [EP/K039407/1]
- Engineering and Physical Sciences Research Council [EP/K039407/1, EP/G007233/1] Funding Source: researchfish
- EPSRC [EP/K039407/1, EP/G007233/1] Funding Source: UKRI
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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 Carding inequality for operators in (rho, delta)-classes in the setting of compact Lie groups. (C) 2014 Elsevier Inc. All rights reserved.
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