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=\frac{\mathrm{sinc}(\omega/2)}{\sqrt{2\pi}}</math>
where "sinc" is the [[sinc function (unnormalized)|sinc function]]. Viewing the rectangular function as a [[probability distribution]] function, its [[characteristic function (probability theory)|characteristic function]] is therefore written
:<math>\varphi(k)=\mathrm{sinc}(k/2)\,</math>
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