Index

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xiii
4. I. Formally and Locally Integrable Structures. Basic Definitions 1
5. II. Local Approximation and Representation in Locally Integrable Structures 73
6. III. Hypo-Analytic Structures. Hypocomplex Manifolds 120
7. IV. Integrable Formal Structures. Normal Forms 167
8. V. Involutive Structures With Boundary 201
9. VI. Local Integraboity and Local Solvability in Elliptic Structures 252
10. VII. Examples of Nonintegrability and of Nonsolvability 312
11. VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field 352
12. IX. FBI Transform in a Hypo-Analytic Manifold 415
13. X. Involutive Systems of Nonlinear First-Order Differential Equations 451
14. References 485
15. Index 493