Fourier integral operators and the canonical operator

CONTENTS Introduction Chapter I. Real theory of Fourier integral operators ??1. Densities, pseudodifferential operators, and asymptotic expansions ??2. Homogeneous Lagrangian immersions ??3. The canonical operator ??4. Fourier integral operators ??5. Examples and applications Chapter II. Complex theory of Fourier integral operators ??1. Introductory remarks ??2. Analysis on -analytic homogeneous manifolds ??3. Complexification of the phase space ??4. Definition of Fourier integral operators in the complex case Conclusion References

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