The Backus-Gilbert (BG) method, an inversion method for solving integral equations, is treated. It is shown that, given a set of idealized delta -function kernels in the BG formalism, it is possible to derive an interpolation formula for a bandlimited function that very closely compares to the perfect interpolation formula given by the Shannon theorem.>
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Caccin et al. (1992) studied this question.
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