Some remarks on reconstruction from local weighted averages
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Published:2012-09-21
Issue:3
Volume:44
Page:217-226
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ISSN:2073-9826
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Container-title:Tamkang Journal of Mathematics
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language:
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Short-container-title:Tamkang J. Math.
Abstract
We solve the convolution equation of the type $f\star\mu=g,$ where $f\star \mu$ is the convolution of $f$ and $\mu$ defined by $(f\star \mu)(x)=\int_{{\mathbb{R}}}f(x-y)d\mu(y),$ $g$ is a given function and $\mu$ is a finite linear combination of translates of an indicator function on an interval.
Publisher
Tamkang Journal of Mathematics
Subject
Applied Mathematics,General Mathematics