Introduction
Chapter XXV. Lagrangian Distributions and Fourier Integral
Operators
Summary
25.1. Lagrangian Distributions
25.2. The Calculus of Fourier Integral Operators
25.3. Special Cases of the Calculus, and L2 Continuity
25.4. Distributions Associated with Positive Lagrangian Ideals
25.5. Fourier Integral Operators with Complex Phase
Notes
Chapter XXVI. Pseudo-Differential Operators of Principal Type .
Summary
26.1. Operators with Real Principal Symbols
26.2. The Complex Involutive Case
26.3. The Symplectic Case
26.4. Solvability and Condition (ψ)
26.5. Geometrical Aspects of Condition (P)
26.6. The Singularities in N11
26.7. Degenerate Cauchy-Riemann Operators
26.8. The Nirenberg-Treves Estimate
26.9. The Singularities in Ne/2 and in Ne/12
26.10. The Singularities on One Dimensional Bicharacteristics
26.11. A Semi-Global Existence Theorem
Notes
Chapter XXVII. Subelliptic Operators
Summary
27.1. Definitions and Main Results
27.2. The Taylor Expansion of the Symbol
27.3. Subelliptic Operators Satisfying (P)
27.4. Local Properties of the Symbol
27.5. Local Subelliptic Estimates
27.6. Global Subelliptic Estimates
Notes
Chapter XXVIII. Uniqueness for the Cauchy problem
Summary
28.1. Calderon's Uniqueness Theorem
28.2. General Carleman Estimates
28.3. Uniqueness Under Convexity Conditions
28.4. Second Order Operators of Real Principal Type
Notes
Chapter XXIX. Spectral Asymptotics
Summary
29.1. The Spectral Measure and its Fourier Transform
29.2. The Case of a Periodic Hamilton Flow
29.3. The Weyl Formula for the Dirichlet Problem
Notes
Chapter XXX. Long Range Scattering Theory
Summary
30.1. Admissible Perturbations
30.2. The Boundary Value of the Resovent, and the Point Spectrum
30.3. The Hamilton Flow
30.4. Modified Wave Operators
30.5. Distorted Fourier Transforms anti Asymptotic Completeness
Notes
Bibliography
Index
Index of Notation
