Poisson formula


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Poisson formula

[pwä′sōn‚fȯr·myə·lə]
(mathematics)
If the infinite series of functions ƒ(2π k + t), k ranging from -∞ to ∞, converges uniformly to a function of bounded variation, then the infinite series with term ƒ(2π k), k ranging from -∞ to ∞, is identical to the series with term the integral of ƒ(x) e -iks dx, k ranging from -∞ to ∞.
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