The Wiener Property for a Class of Fourier Integral Operators
  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. 
Elena Cordero, Karlheinz Gr\"ochenig, Fabio Nicola, and Luigi Rodino
math.FA math.AP