English

The amplitude modulation transform

Classical Analysis and ODEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0212199,
  title  = {The amplitude modulation transform},
  author = {Igor Rivin},
  journal= {arXiv preprint arXiv:math/0212199},
  year   = {2007}
}