Fourier integral operators. I

@article{Hrmander1971FourierIO,
  title={Fourier integral operators. I},
  author={Lars H{\"o}rmander},
  journal={Acta Mathematica},
  year={1971},
  volume={127},
  pages={79-183}
}
  • L. Hörmander
  • Published 29 November 1995
  • Mathematics
  • Acta Mathematica
Pseudo-differential operators have been developed as a tool for the study of elliptic differential equations. Suitably extended versions are also applicable to hypoelliptic equations, but their value is rather limited in genuinely non-elliptic problems. In this paper we shall therefore discuss some more general classes of operators which are adapted to such applications. For these operators we shall develop a calculus which is almost as smooth as that of pseudo-differential operators. It also… 
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