线性偏微分算子分析（第四卷）（英文版）
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内容提要：
本书共有4卷，作者是世界公认的分析学大师。这套4卷集的经典名著以广义函数论为框架，论述了与偏微分方程理论有关的经典分析和现代分析的核心内容。第4卷内容包括：拉格朗日分布和傅立叶积分算子、主型的伪微分算子、次椭圆算子、柯西问题的惟一性、谱渐近展开和长范围散射理论等。
目录：
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 Nrenberg-Treves Estimate 26.10.The Singularites on One Dimensional Bicharacterstics 26.11.A Semi-Global Existence Theorem Chapter XXVII.Subelliptic Operators Summary 27.1.Defintions and Main Results 27.2.The Taylor Expansion of the Symbol 27.3.Subelliptic Operators Satsfying(P) 27.4.Local Properties of the Symbol Chapter XXVIIII.Uniqueess for the Cauchy problem Chapter XXIX.Spectral Asymptotics Chapter XXX.Long Range Scattering Theory Bibliography Index Index of Notation 前言：
The first two volumes of this monograph can be regarded as an expansion and updating of my book "Linear partial differential operators" published in the Grundlehren series in 1963. However, volumes III and IV are almost entirely new. In fact they are mainly devoted to the theory of linear differential operators as it has developed after 1963. Thus the main topics are pseudo-differential and Fourier integral operators with the underlying symplectic geometry. The contents will be discussed in greater detail in the introduction.
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