ON THE UNIQUENESS OF THE INVERSE BLACKBODY RADIATION PROBLEM

A rigorous proof of the uniqueness of Chen's solution for the inverse blackbody radiation problem is given. The proof depends on the asympto tic behavior of the area temperature distribution a(T), especially on the sufficient condition that a(T) approaches zero faster than T-2 in the high temperature limit. The method is also applicable to a variety of Fredholm integral equations of the first kind, including the speci fic heat-phonon spectrum inversion problem.