Deconvolution of appearance potential spectra II

We have recently introduced a new method for the inversion of autoconvolution integrals [1]. In this paper, we describe an improvement of the previous algorithm which results from the consequent use of cubical spline functions. The treatment given here is mathematically more consistent and offers better numerical stability than that given earlier. The method is applied to the deconvolution of the rather narrow NiLIII appearance potential line. Problems of stability and error propagation are discussed in some detail.

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