Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators

@article{Ruzhansky2005GlobalL2,
  title={Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators},
  author={Michael Ruzhansky and M. Sugimoto},
  journal={Communications in Partial Differential Equations},
  year={2005},
  volume={31},
  pages={547 - 569}
}
ABSTRACT The local L 2-mapping property of Fourier integral operators has been established in Hörmander (1971) and in Eskin (1970). In this article, we treat the global L 2-boundedness for a class of operators that appears naturally in many problems. As a consequence, we improve known global results for several classes of pseudodifferential and Fourier integral operators, as well as extend previous results of Asada and Fujiwara (1978) or Kumano-go (1976). As an application, we show a global… Expand
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