Publication Cover
Applicable Analysis
An International Journal
Volume 56, 1995 - Issue 1-2
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Original Articles

On the existence of L1(R) solutions to wiener-Hopf type equations

Pages 444-509 | Published online: 02 May 2007
 

Abstract

By means of the Fourier transforms of distributions we find necessary and sufficient conditions for the existence of L1(R) solutions to Wiener-Hopf type integral equations. Thus we establish general criteria for the existence of L1(R) filters operating on the observed signal to best approximate the true signal. The theorems apply to wide sense stationary stochastic processes.

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