Multi-variable sinc integrals and volumes of polyhedra

Title: Multi-variable sinc integrals and volumes of polyhedra
Creator: Borwein, David; Borwein, Jonathan M.; Mares Jr, Bernard A.
Relation: The Ramanujan Journal Vol. 6, Issue 2, p. 189-208
Publisher Link: http://dx.doi.org/10.1023/A:1015727317007
Publisher: Springer
Resource Type: journal article
Date: 2002
Description: 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.
Subject: multi-variable sinc integrals; Fourier transforms; convolution; Parseval's theorem; volumes of polyhedra
Identifier: http://hdl.handle.net/1959.13/940675
Identifier: uon:13069
Identifier: ISSN:1382-4090
Language: eng
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