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arXiv:1201.4079 [math.FA]AbstractReferencesReviewsResources

The Wiener Property for a Class of Fourier Integral Operators

Elena Cordero, Karlheinz Gröchenig, Fabio Nicola, Luigi Rodino

Published 2012-01-19Version 1

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.

Comments: 19 pages
Journal: J.\ Math. Pure Appl. 99(2) (2013), 125-250
Categories: math.FA, math.AP
Subjects: 35S30, 47G30, 42C15
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