Some remarks on reconstruction from local weighted averages
Keyword(s):
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.
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