Formula:468

Digital Library of Mathematical Functions ID 1.14.E7

${\displaystyle{\displaystyle\int^{\infty}_{-\infty}F(x)G(x)\mathrm{d}x=\int^{\infty}_{-\infty}f(t)g(-t)\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle F(x)}}$: Fourier transform of f ( t )
• ${\displaystyle{\displaystyle G(x)}}$: Fourier transform of g ( t )
 

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