Uniqueness of Inversion Problems Described by First-Kind Integral Equations

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（2）
• 页码范围: 147-149
• 页数: 3页
• 分类号: O4
• 语种: 英文

摘要

We propose a general method to prove the uniqueness of the inversion problems described by 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.