Abstract： We propose a general method to prove the uniqueness of the inversion problems described by the first-kind integral equations. The method depends on the analytical properties of the Fourier transform of the integral kernel and the finiteness of the total states (or probability, if normalized), the integration of the“local”density of states, which is a rather moderate condition and satisfied by many inversion problems arising from physics and engineering.
XU Tie-Fen. Uniqueness of Inversion Problems Described by the First-Kind
Integral Equations[J]. 中国物理快报, 2002, 19(2): 147-149.
XU Tie-Fen. Uniqueness of Inversion Problems Described by the First-Kind
Integral Equations. Chin. Phys. Lett., 2002, 19(2): 147-149.
2002, Vol. 19 
