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arXiv · 2201.06261

Mapping properties of pseudodifferential and Fourier operators

Hans Triebel
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Abstract

The composition of the Fourier transform in $\mathbb{R}^n$ with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. The paper deals with its spectral theory. This is based on mapping properties of the Fourier transform as developed in a preceding paper and related assertions for pseudodifferential operators.

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Hans Triebel. 2022-01-17. Mapping properties of pseudodifferential and Fourier operators. https://arxiv.org/abs/2201.06261

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