On the Autoconvolution Equation and Total Variation Constraints

On the Autoconvolution Equation and Total Variation Constraints

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This paper is concerned with the numerical analysis of the autoconvolution equation $x*x=y$ restricted to the interval [0,1]. We present a discrete constrained least squares approach and prove its convergence in $L^p(0,1),1<p<\infinite$ , where the regularization is based on a prescribed bo...

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Bibliographic Details
Main Authors: Fleischer, G., Gorenflo, R., Hofmann, B.
Language:English
Published: Technische Universität Chemnitz 1998
Subjects:
info:eu-repo/classification/ddc/510
ddc:510
autoconvolution
ill-posed problem
discretization
constrained least squares approach
bounded total variation
MSC 65J20
MSC 45G10
MSC 65R30
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801196
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