关于Lorentz积分变换的不适定性
On the ill-posed character of the Lorentz integral transform
摘要：
给出了洛伦兹积分变换（LIT）的精确反演公式和LIT核的谱。进入反演公式的LIT核的逆傅立叶变换的指数增加解释了LIT方法的不适定性。LIT核的连续谱也是如此，其必然接近零点到相同的缺陷。一种可能的治疗进行了讨论和数值说明。
英文摘要：
An exact inversion formula for the Lorentz integral transform (LIT) is provided together with the spectrum of the LIT kernel. The exponential increase of the inverse Fourier transform of the LIT kernel entering the inversion formula explains the ill-posed character of the LIT approach. Also the continuous spectrum of the LIT kernel, which approaches zero points necessarily to the same defect. A possible cure is discussed and numerically illustrated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
