# 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} }

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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