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The Lorentz Integral Transform and its Inversion

机译:洛伦兹积分变换及其反演

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摘要

The Lorentz integral transform method is briefly reviewed. The issue of the inversion of the transform, and in particular its ill-posedness, is addressed. It is pointed out that the mathematical term ill-posed is misleading and merely due to a historical misconception. In this connection standard regularization procedures for the solution of the integral transform problem are presented. In particular a recent one is considered in detail and critical comments on it are provided. In addition a general remark concerning the concept of the Lorentz integral transform as a method with a controlled resolution is made.
机译:简要介绍了Lorentz积分变换方法。解决了变换的倒置问题,尤其是其不适定性。应当指出,不适的数学术语是误导性的,仅仅是由于历史上的误解。在这种连接中,提出了用于解决积分变换问题的标准正则化程序。特别是,详细考虑了最近的一个,并提供了有关它的批评意见。此外,还作了关于洛伦兹积分变换的概念的一般性评论,该方法是具有受控分辨率的方法。

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