Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590112 | Journal of Functional Analysis | 2014 | 29 Pages |
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)(ρ,δ)-classes in the setting of compact Lie groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michael Ruzhansky, Jens Wirth,