Some remarks on reconstruction from local weighted averages

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Published: Sep 21, 2012
DOI: https://doi.org/10.5556/j.tkjm.44.2013.820
Keywords:
Deconvolution Functional Equation mean-periodic functions Reconstructions

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Devaraj Ponnaian
Anna University

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.

Article Details

How to Cite
Ponnaian, D. (2012). Some remarks on reconstruction from local weighted averages. Tamkang Journal of Mathematics, 44(3), 217–226. https://doi.org/10.5556/j.tkjm.44.2013.820
Issue
Vol. 44 No. 3 (2013)
Section
Papers
Author Biography

Devaraj Ponnaian, Anna University

Department ofMathematics, College of EngineeringGuindy, Anna University Chennai, India, PIN 600 025.

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