Fractional Moments. New Source of Information in Radiospectroscopy

Abstract

A new fractional moments method for the absorption and dispersion curves in radiospectroscopy is suggested. The fractional moments solve the problem of moments existing in the mathematical statistics and enable one to restore the complex susceptibility ξ(ω) and the relaxation function Φ(t) completely. The bond between the fractional moments of the ξ(ω) and the function Φ(t) is found. The possible applications of this method for experimental measurements are shown. [Russian Text Ignored].