On the nuclear trace of Fourier integral operators in $L^p$-spaces

Abstract

In this paper we provide characterizations for the nuclearity of Fourier integral operators on ${\mathbb{R}}^n,$ on the discrete group ${\mathbb{Z}}^n,$ arbitrary compact Lie groups and compact homogeneous manifolds. We also investigate the nuclear trace of these operators.

29 pages. arXiv admin note: text overlap with arXiv:1809.03876