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On the sign of a multiple integral
Published online by Cambridge University Press: 09 April 2009
Extract
One proof of Minkowski's fundamental theorem on lattice points in an n-dimensional parallelopiped depends upon a multiple Fourier expansion. Its terms involve multiple integrals which are easily evaluated and so are shown to have positive values. Then the expansion takes only positive values and the desired proof follows at once. It seems of interest to note a multiple integral which assumes only positive values.
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- Copyright © Australian Mathematical Society 1963
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