Maxentropic reconstruction of Fourier and Laplace transforms
type: Item
instance of: scholarly article
title: Maxentropic reconstruction of Fourier and Laplace transforms
zbMATH Open document ID: 0841.65139
DOI: 10.1016/0096-3003(94)00248-7
published in: Applied Mathematics and Computation
publication date: 1996-07-14T00:00:00Z
review text: The moment problem on \([0,1]\), i.e., the problem of reconstructing a continuous, positive function on [0,1] when only a few of its moments are known has received a lot of attention. In this note, the first of a series, the author presents a maxentropic procedure to recover a function from the knowledge of a finite number of values of a linear integral transform, and apply it to the case of the Fourier or the Laplace transforms. The author also considers the case in which the values of the transform are known to be polluted by the noise.
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A70
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 847553
zbMATH Keywords: Fourier transform
zbMATH Keywords: maxentropic reconstruction
zbMATH Keywords: moment problem
zbMATH Keywords: Laplace transforms
author: Henryk Gzyl
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)00248-7
OpenAlex ID: W2014825446
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description: scientific article; zbMATH DE number 847553