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A regularization procedure for the auto-correlation equation

โœ Scribed by L. Von Wolfersdorf

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
133 KB
Volume
24
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

The paper deals with the autoโ€correlation equation and its regularization by means of a Lavrent'ev regularization procedure in L^2^. The solution of this quadratic integral equation of the first kind and of the regularized equation of the second kind are obtained by reduction to a boundary value problem for the Fourier transform of the solution. We prove convergence of the approximate solution to the exact solution and derive a stability estimate for the error. Copyright ยฉ John Wiley & Sons, Ltd.

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