Stabilization and error bounds for the inverse laplace transform |
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Authors: | Piero de Mottoni Giorgio Talenti |
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Institution: | 1. Istituto per le Applicazioni del Calcolo “M. Picone” , CNR, Roma, Italy;2. Istituto Matematico “U. Dini” Universitá di Firenze , Italy |
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Abstract: | We present some theorems on the stabilization of the inverse Laplace transform. We assume the Laplace transform is measured at N points to within some error ?. We prove error bounds for the inverse Laplace transform in terms of ? and N, under suitable a-priori constraints. This is achieved by proving parallel stabilization results for a related Hausdorff moment problem. |
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