Interpretation of the solution to the inverse problem for the positive function and the reconstruction of neutron spectra

The present paper treats the problem of reconstruction of a positive function S(E > 0) from its measured functionals $\text{Y}{}_{\mathrm{n}}\text{= ?}\text{d}\text{EA}{}_{\mathrm{n}}\text{(E)S(E)}$. The reconstruction method is based on the Tikhonov's regularization of the problem as well as on the priori information that S(E) is positive. In detail are considered the statistical properties of the reconstructed function $\text{S}\text{?}\text{(E)}$.