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IntroductionChapter XXV£® Lagrangian Distributions and Fourier IntegralOperatorsSummary25£®1£® Lagrangian Distributions25£®2£® The Calculus of Fourier Integral Operators25£®3£® Special Cases of the Calculus£¬ and L2 Continuity25£®4£® Distributions Associated with Positive Lagrangian Ideals25£®5£® Fourier Integral Operators with Complex PhaseNotesChapter XXVI£® Pseudo-Differential Operators of Principal Type £®Summary26£®1£® Operators with Real Principal Symbols26£®2£® The Complex Involutive Case26£®3£® The Symplectic Case26£®4£® Solvability and Condition £¨¦×£©26£®5£® Geometrical Aspects of Condition £¨P£©26£®6£® The Singularities in N1126£®7£® Degenerate Cauchy-Riemann Operators26£®8£® The Nirenberg-Treves Estimate26£®9£® The Singularities in Ne/2 and in Ne/1226£®10£® The Singularities on One Dimensional Bicharacteristics26£®11£® A Semi-Global Existence TheoremNotesChapter XXVII£® Subelliptic OperatorsSummary27£®1£® Definitions and Main Results27£®2£® The Taylor Expansion of the Symbol27£®3£® Subelliptic Operators Satisfying £¨P£©27£®4£® Local Properties of the Symbol27£®5£® Local Subelliptic Estimates27£®6£® Global Subelliptic EstimatesNotesChapter XXVIII£® Uniqueness for the Cauchy problemSummary28£®1£® Calderon's Uniqueness Theorem28£®2£® General Carleman Estimates28£®3£® Uniqueness Under Convexity Conditions28£®4£® Second Order Operators of Real Principal TypeNotesChapter XXIX£® Spectral AsymptoticsSummary29£®1£® The Spectral Measure and its Fourier Transform29£®2£® The Case of a Periodic Hamilton Flow29£®3£® The Weyl Formula for the Dirichlet ProblemNotesChapter XXX£® Long Range Scattering TheorySummary30£®1£® Admissible Perturbations30£®2£® The Boundary Value of the Resovent£¬ and the Point Spectrum30£®3£® The Hamilton Flow30£®4£® Modified Wave Operators30£®5£® Distorted Fourier Transforms anti Asymptotic CompletenessNotesBibliographyIndexIndex of Notation