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

Duván Cardona

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arXiv · 1807.08389

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

Duván Cardona

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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.

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Duván Cardona. 2018-07-22. On the nuclear trace of Fourier integral operators in $L^p$-spaces. https://arxiv.org/abs/1807.08389

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