## The inverse problem of scattering theory by Z. S. Marchenko, V. A. Agranovich

By Z. S. Marchenko, V. A. Agranovich

Half 1. The boundary-value challenge with no singularities --

I. specific options of the procedure with out singularities --

II. The spectrum and scattering matrix for the boundary-value challenge with out singularities --

III. the basic equation --

IV. Parseval's equality --

V. The inverse challenge --

Part 2. The boundary-value challenge with singularities --

VI. specific transformation operators --

VII. Spectral research of the boundary-value challenge with singularities --

VIII. Reconstruction of the singular boundary-value challenge from its scattering information --

Appendix I. at the attribute houses of the scattering info of the boundary-value challenge with no singularities --

Appendix II. Refinement of convinced inequalities.