Mapping properties of pseudodifferential and Fourier operators
Functional Analysis
2022-01-19 v1
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.
Keywords
Cite
@article{arxiv.2201.06261,
title = {Mapping properties of pseudodifferential and Fourier operators},
author = {Hans Triebel},
journal= {arXiv preprint arXiv:2201.06261},
year = {2022}
}