[Transformada de Fourier] com variáveis de graceli de delta de dirac, fluxos e ondas.

[- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}\{h(t)\}=H{\bigl (}\omega {\bigr )}=-i\omega {\frac {\sqrt {\pi }}{2}}e^{-{\tfrac {\omega ^{2}}{4}}}$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}\{f'(t)\}=\int _{-\infty }^{\infty }f'(t)e^{-i\omega t}dt$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$f(t)={\frac {1}{2\pi }}\int _{-\infty }^{\infty }F(\omega )e^{i\omega t}\,d\omega$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$\int _{-\infty }^{\infty }\mid f(t)\mid ^{2}dt={\frac {1}{2\pi }}\int _{-\infty }^{\infty }\mid F(\omega )\mid ^{2}d\omega$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$f(x)=\int _{-\infty }^{\infty }{\hat {f}}(\xi )e^{2i\pi x\xi }\,d\xi$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$\phi (\lambda )=\int _{-\infty }^{\infty }f(x)e^{i\lambda x}\,dx.$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$f(t)=\left({\frac {1}{2\pi }}\right){\int _{-\infty }^{\infty }F(\omega )e^{i\omega t}dw}$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}\{f(at)\}$ $={\frac {1}{|a|}}{\hat {g}}{\Bigl (}{\frac {\omega }{a}}{\Bigr )}$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}\{f(t-t_{0})\}=\int _{-\infty }^{\infty }f(t-t_{0})e^{-i\omega t}dt$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}(\omega ){f(t-a)}=e^{-ia\omega }F(\omega )$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

${\mathcal {F}}\{a\ g(t)+b\ h(t)\}$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

$\mathrm {f(t)=\sum _{n=-\infty }^{\infty }C_{n}\ e^{i\omega _{n}t}\equiv \sum _{n=-\infty }^{\infty }{\hat {f}}{\Bigl (}{\frac {\omega _{n}}{2\pi }}{\Bigr )}\ e^{i\omega _{n}t}{\frac {\Delta \omega _{n}}{2\pi }}}$ [- ] [ δ ω $\lambda$ ] d[ δ ω $\lambda$ ] =

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CÁLCULO GRACELI SINTÉTICO [70]

[Transformada de Fourier] com variáveis de graceli de delta de dirac, fluxos e ondas.

[Transformada de Fourier]

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