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
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