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arxiv: 1807.08389 · v3 · pith:FQI4LCPVnew · submitted 2018-07-22 · 🧮 math.AP

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

classification 🧮 math.AP
keywords operatorscompactfourierintegralmathbbnucleartracearbitrary
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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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