Ebook: The inverse problem of scattering theory
Author: Agranovich Z. S., Marchenko V. A.
- Genre: Mathematics
- Tags: Problèmes aux limites Calcul symbolique Dispersion Mathématiques inverses Équations différentielles Diffusion physique nucléaire
- Year: 1963
- Publisher: Gordon and Breach
- City: New York
- Language: English
- djvu
Part 1. The boundary-value problem without singularities --
I. Particular solutions of the system without singularities --
II. The spectrum and scattering matrix for the boundary-value problem without singularities --
III. The fundamental equation --
IV. Parseval's equality --
V. The inverse problem --
Part 2. The boundary-value problem with singularities --
VI. Special transformation operators --
VII. Spectral analysis of the boundary-value problem with singularities --
VIII. Reconstruction of the singular boundary-value problem from its scattering data --
Appendix I. On the characteristic properties of the scattering data of the boundary-value problem without singularities --
Appendix II. Refinement of certain inequalities.
I. Particular solutions of the system without singularities --
II. The spectrum and scattering matrix for the boundary-value problem without singularities --
III. The fundamental equation --
IV. Parseval's equality --
V. The inverse problem --
Part 2. The boundary-value problem with singularities --
VI. Special transformation operators --
VII. Spectral analysis of the boundary-value problem with singularities --
VIII. Reconstruction of the singular boundary-value problem from its scattering data --
Appendix I. On the characteristic properties of the scattering data of the boundary-value problem without singularities --
Appendix II. Refinement of certain inequalities.
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