Wiener algebras of Fourier integral operators
type: Item
instance of: scholarly article
title: Wiener algebras of Fourier integral operators
zbMATH Open document ID: 1306.42045
author: Elena Cordero
author: Fabio Nicola
author: Luigi Rodino
author: Karlheinz Gröchenig
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2013-02-19T00:00:00Z
review text: The authors construct a one-parameter family of algebras \(FIO(\Xi,s), 0\leq s\leq \infty\), consisting of Fourier integral operators. Boundedness results, composition rules, and the spectral invariance of the operators in \(FIO(\Xi,s)\) are obtained. The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical transformation. In particular, for the limit case \(s=\infty\), the Gabor technique provides a new approach to the analysis of \(S^0_{0,0}\)-type Fourier integral operators, for which the global calculus represents a still open relevant problem.
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 35S30
zbMATH DE Number: 6137370
zbMATH Keywords: Fourier integral operators
zbMATH Keywords: modulation spaces
zbMATH Keywords: short-time Fourier transform
zbMATH Keywords: Gabor frames
zbMATH Keywords: Wiener algebra
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: j.matpur.2012.06.012
OpenAlex ID: W1969251041
DOI: 10.1016/J.MATPUR.2012.06.012
description: scientific article; zbMATH DE number 6137370