https://en.formulasearchengine.com/w/api.php?action=feedcontributions&feedformat=atom&user=4.59.63.195 2026-08-19T08:50:23Z User contributions MediaWiki 1.47.0-wmf.7 https://en.formulasearchengine.com/w/index.php?title=Super-Poincar%C3%A9_algebra&diff=7418 2013-08-18T14:45:35Z

<p>4.59.63.195: </p> <hr /> <div>A '''harmonic spectrum''' is a [[spectrum of an operator|spectrum]] containing only frequency components whose [[frequency|frequencies]] are [[Integer|whole number]] multiples of the [[fundamental frequency]]; such frequencies are known as [[harmonic]]s.<br /> <br /> In other words, if &lt;math&gt;\omega\,&lt;/math&gt; is the fundamental frequency, then a harmonic spectrum has the form <br /> :&lt;math&gt;\{\dots, -2\omega, -\omega, 0, \omega, 2\omega, \dots\}.&lt;/math&gt;<br /> <br /> A standard result of [[Fourier analysis]] is that a function has a harmonic spectrum if and only if it is [[periodic function|periodic]].<br /> <br /> ==See also==<br /> * [[Fourier series]]<br /> * [[Harmonic series (music)]]<br /> * [[Periodic function]]<br /> * [[Scale of harmonics]]<br /> <br /> {{Acoustics}}<br /> {{Mathanalysis-stub}}<br /> {{Signal-processing-stub}}<br /> [[Category:Functional analysis]]</div>

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