Serje ta' Fourier: Differenza bejn il-verżjonijiet

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:<math>\ ||F||^2= \sum_{n=-\infty}^\infty |F_n|^2 = \frac{1}{2\pi} \int_{-\pi}^\pi |f(x)|^2 dx \,</math> .
 
<math>||F||^2:=</math> [[Norma (matematika)|Norma]] bill-kwadrat tals-serje (Lili fil-fiżika jgħidulha l-[[enerġija tas-sinjal]]).
In partikulari għall-funzjoni preċedenti b’valuri reali ''f'' b’valuri reali:
 
:<math>\frac{a_0^2}{4} + \frac{1}{2} \sum_{n=1}^\infty \left( a_n^2 + b_n^2 \right) = \frac{1}{2\pi} \int_{-\pi}^\pi f(x)^2 dx</math>.