On the ill-posed character of the Lorentz integral transform

Abstract

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.

13 pages, 3 figures

References in corpus (2)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• New inversion methods for the Lorentz Integral Transform

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