Difference between revisions of "EulerFourier formulas"
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Revision as of 18:51, 24 March 2012
Formulas for the coefficients of a Fourier series.
Comments
If is a function of period defined on the real line and if , then the formulas are:
and
The formal series
and
are both called the Fourier series of . They have the same partial sums:
for all and all . The coefficient is also denoted by .
How to Cite This Entry:
EulerFourier formulas. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=EulerFourier_formulas&oldid=12665
EulerFourier formulas. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=EulerFourier_formulas&oldid=12665