Mapping properties of pseudodifferential and Fourier operators
Hans Triebel
Friedrich-Schiller-Universität Jena, Germany
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Abstract
The composition of the Fourier transform in 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.
Cite this article
Hans Triebel, Mapping properties of pseudodifferential and Fourier operators. Z. Anal. Anwend. 41 (2022), no. 3/4, pp. 371–389
DOI 10.4171/ZAA/1710