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Difference between revisions of "Fourier representation"

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''Fourier series representation''
 
''Fourier series representation''
  
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The representation of a [[Function|function]] (or other suitable object) <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f130/f130200/f1302001.png" /> by means of a [[Fourier series|Fourier series]], especially a [[Trigonometric series|trigonometric series]]:
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The representation of a [[Function|function]] (or other suitable object) $f$ by means of a [[Fourier series|Fourier series]], especially a [[Trigonometric series|trigonometric series]]:
  
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f130/f130200/f1302002.png" /></td> </tr></table>
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$$f(x)=\sum_{k=-\infty}^\infty c_ke^{ikx}.$$

Latest revision as of 14:49, 6 August 2014

Fourier series representation

The representation of a function (or other suitable object) $f$ by means of a Fourier series, especially a trigonometric series:

$$f(x)=\sum_{k=-\infty}^\infty c_ke^{ikx}.$$

How to Cite This Entry:
Fourier representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fourier_representation&oldid=32740
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