An Integral Equation for the Gel'fand-Levitan Kernel in Terms of the Scattering Potential in the One-Dimensional Case.

摘要

An integral equation for the Gel'fand-Levitan kernel is given in terms of the scattering potential. This integral equation may be regarded as complementary to the Gel'fand-Levitan equation which is an integral equation for the kernel in terms of the Fourier transform of the reflection coefficient. (Author)