Abstract
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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