SUMMARY
This paper shows new proof of non-uniqueness of the solution for the retrieving of a compact-supported functionstarting from a finite number of samples of its spectrum. As will be shown, this is relevant for linear inversescattering problems, that in many cases can be recast as the reconstruction of a compact supported function froma finite set of samples of its spectrum. Since this reconstruction is not unique, from a practical point of view, anylinear inverse scattering algorithm that can be recast in terms of a Fourier relationship between unknowns anddata necessarily «trusts» on the absence of invisible objects in the particular situation at hand.