Global functional calculus for operators on compact Lie groups

@article{Ruzhansky2014GlobalFC,
  title={Global functional calculus for operators on compact Lie groups},
  author={M. Ruzhansky and J. Wirth},
  journal={Journal of Functional Analysis},
  year={2014},
  volume={267},
  pages={144-172}
}
  • M. Ruzhansky, J. Wirth
  • Published 2014
  • Mathematics
  • Journal of Functional Analysis
  • 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 Garding inequality for operators in ( ρ , δ ) -classes in the setting of compact Lie groups. 
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