Poisson summation formula and Box splines

Abstract

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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References in corpus (2)

• Box splines and the equivariant index theorem
• Kirillov's formula and Guillemin-Sternberg conjecture