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arxiv: 1302.6599 · v2 · pith:2HW6FAZEnew · submitted 2013-02-26 · 🧮 math.CO

Poisson summation formula and Box splines

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keywords formulapoissonsplinessummationdahmen-micchellideconvolutionfunctionsgeneralize
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We generalize Dahmen-Micchelli deconvolution formula for Box splines with parameters. Our proof is based on identities for Poisson summation of rational functions with poles on hyperplanes.

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