The Wiener Property for a Class of Fourier Integral Operators

Details The Wiener Property for a Class of Fourier Integral Operators The Wiener Property for a Class of Fourier Integral Operators

2012-01-19

arxiv.org/abs/1201.4079v1

Mathematics

Functional Analysis

19 pages

Scientific paper

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.

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