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The amplitude modulation transform

Igor Rivin
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Abstract

Motivated by the study of the local extrema of sin(x)/x we define the \emph{Amplitude Modulation} transform of functions defined on (subsets of) the real line. We discuss certain properties of this transform and invert it in some easy cases.

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Igor Rivin. 2002-12-15. The amplitude modulation transform. https://arxiv.org/abs/math/0212199

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