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Multi-variable sinc integrals and volumes of polyhedra

Borwein, David and Borwein, Jonathan M. and Mares Jr., Bernard A. (2002) Multi-variable sinc integrals and volumes of polyhedra. The Ramanujan Journal, 6 . pp. 189-208.

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      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.

      Item Type: Article
      Additional Information: pubdom TRUE
      Uncontrolled Keywords: multi-variable sinc integrals,Fourier transforms,convolution,Parseval's theorem,volumes of polyhedra
      Subjects: 42-xx Fourier analysis > 42Axx Fourier analysis in one variable
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 13 Jan 2015 11:54
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/56

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