CÁLCULO GRACELI SINTÉTICO.

$X(z)=\sum _{n=-\infty }^{\infty }x[n]\,z^{-n}$ $/ G$ $T^{\nu }{}_{\alpha }$ $\lambda$ ω ${\mathcal {T}}$ , $\sigma$ , $\psi$

$f(x)={\frac {A_{0}}{2}}+\textstyle \sum _{k=1}^{\infty }\displaystyle (A_{k}\cos(kx)+B_{k}\operatorname {sen}(kx))$

$\mid \mid f\mid \mid ^{2}={\frac {1}{\pi }}\int _{-\pi }^{\pi }f(x)^{2}dx={\frac {A_{0}}{2}}+\textstyle \sum _{k=1}^{\infty }\displaystyle (a_{k}^{2}+b_{k}^{2})$ $/ G$ $T^{\nu }{}_{\alpha }$ $\lambda$ ω ${\mathcal {T}}$ , $\sigma$ , $\psi$

$\textstyle \sum _{k=1}^{\infty }\displaystyle ({\hat {u}}\cdot {\hat {u_{k}}})^{2}=\mid \mid {\hat {u}}\mid \mid ^{2}$ $/ G$ $T^{\nu }{}_{\alpha }$ $\lambda$ ω ${\mathcal {T}}$ , $\sigma$ , $\psi$

$\int _{-\infty }^{\infty }|{\hat {f}}(\xi )|^{2}\,d\xi =\int _{-\infty }^{\infty }|f(x)|^{2}\,dx.$ $/ G$ $T^{\nu }{}_{\alpha }$ $\lambda$ ω ${\mathcal {T}}$ , $\sigma$ , $\psi$

$\Vert f\Vert _{L^{2}(-\pi ,\pi )}^{2}=\int _{-\pi }^{\pi }|f(x)|^{2}\,dx=2\pi \sum _{n=-\infty }^{\infty }|c_{n}|^{2}$ $/ G$ $T^{\nu }{}_{\alpha }$ $\lambda$ ω ${\mathcal {T}}$ , $\sigma$ , $\psi$

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CÁLCULO GRACELI SINTÉTICO.

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