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Remarks on Fourier Integral Operators

2004
We prove some estimates on several types of Fourier integral operators, emphasizing ɧ1→ ɧ1 estimates and ɧ→ bmo estimates. The results are mostly special cases of more general known results, but the proofs of the special cases presented here are simpler than the usual proofs. Furthermore, the special cases treated here arise quite commonly.
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Fourier Integral Operators and Gelfand-Shilov Spaces

2005
In this work, we study a class of Fourier integral operators of infinite order acting on the Gelfand-Shilov spaces of type S. We also define wave front sets in terms of Gelfand-Shilov classes and study the action of the previous Fourier integral operators on them.
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Wave packets and fourier integral operators

Communications in Partial Differential Equations, 1978
Antonio Córdoba, Charles Fefferman
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