| The Forward Problem: Distinguished solutions / Part I： |
| Fundamental matrices Fundamental tensors |
| Behavior of fundamental tensors as $|x|\rightarrow\infty$; the Functions $\Delta_k$ |
| Behavior of fundamental tensors as $z\rightarrow\infty$ |
| Behavior of fundamental tensors as $z\rightarrow0$ |
| Construction of fundamental matrices |
| Global properties of fundamental matrices; the transition matrix $\delta$ |
| Symmetries of fundamental matrices |
| The Green's function for $L$ |
| Generic operators and scattering data |
| Algebraic properties of scattering data |
| Analytic roperties of scattering data |
| Scattering data for $\tilde m$; determination of $\tilde v$ from $v$ |
| Scattering data for $L^\ast$ Generic selfadjoint operators and scattering data |
| The Green's function revisited |
| Genericity at $z=0$ Genericity at $z\ne0$ |
| Summary of properties of scattering data |
| The Inverse Problem: Normalized eigenfunctions for odd order inverse data / Part II： |
| The vanishing lemma |
| The Cauchy operator Equations for the inverse problem |
| Factorization near $z=0$ and property (20.6) |
| Reduction to a Fredholm equation Existence of $h^\#$ |
| Properties of $h^\#$ Properties of $\mu^\#(x,z)$ and $\mu(x,z)$ as $z\rightarrow\infty$ and as $x\rightarrow-\infty$ |
| Proof of the basic inverse theorem |
| The scalar factorization problem for $\delta$ |
| The inverse problem at $x=+\infty$ and the bijectivity of the map $L\mapsto S(L)=(Z(L),v(L))$ The even order case The second order problem |
| Applications: Flows / Part III： |
| Eigenfunction expansions and classical scattering theory |
| Inserting and removing poles |
| Matrix factorization and first order systems |
| Rational approximation / Appendix A： |
| Some formulas / Appendix B： |
| The Forward Problem: Distinguished solutions / Part I： |
| Fundamental matrices Fundamental tensors |
| Behavior of fundamental tensors as $|x|\rightarrow\infty$; the Functions $\Delta_k$ |
図書
