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arxiv: 1003.1574 · v1 · submitted 2010-03-08 · 🧮 math.AC · math.CO

A Remark on the Convolution with Box Splines

classification 🧮 math.AC math.CO
keywords convolutionformulasemi-discretesplineapproximationbernoullidifferencegive
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The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the difference between semi-discrete convolution and convolution with the Box Spline. This formula involves multiple Bernoulli polynomials.

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