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arXiv · 0906.5421

The Lorentz Integral Transform and its Inversion

N. Barnea·V. D. Efros·W. Leidemann·G. Orlandini
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Abstract

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.

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N. Barnea, V. D. Efros, W. Leidemann, G. Orlandini. 2009-12-23. The Lorentz Integral Transform and its Inversion. https://doi.org/10.1007/s00601-009-0081-0

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