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Uniqueness of Inversion Problems Described by the First-Kind
Integral Equations |
| XU Tie-Fen |
| Faculty of Information Science and Engineering, Ningbo University, Ningbo 315211 |
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| Cite this article: |
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XU Tie-Fen 2002 Chin. Phys. Lett. 19 147-149 |
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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.
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02.30.Rz
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Published: 01 February 2002
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