The Wiener Property for a Class of Fourier Integral Operators
Functional Analysis
2014-07-17 v1 Analysis of PDEs
Abstract
We construct a one-parameter family of algebras consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of this class of operators. The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical transformation.
Keywords
Cite
@article{arxiv.1201.4079,
title = {The Wiener Property for a Class of Fourier Integral Operators},
author = {Elena Cordero and Karlheinz Gröchenig and Fabio Nicola and Luigi Rodino},
journal= {arXiv preprint arXiv:1201.4079},
year = {2014}
}
Comments
19 pages