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Multi-Variable Sinc Integrals and Volumes of Polyhedra |
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| Authors: | Borwein David Borwein Jonathan M. Mares Bernard A. |
| Affiliation: | (1) Department of Mathematics, University of Western Ontario, London, Ontario, Canada, N6A 5B7;(2) Centre for Experimental and Constructive Mathematics, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6;(3) Department of Mathematics, Brown University, Providence, Rhode Island, 02912 |
| Abstract: | We investigate multi-variable integrals of products of sinc functions and show how they may be interpreted as volumes of symmetric convex polyhedra. We then derive an explicit formula for computing such sinc integrals and so equivalently volumes of polyhedra. |
| Keywords: | multi-variable sinc integrals Fourier transforms convolution Parseval's theorem volumes of polyhedra |
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