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Formula:469

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Digital Library of Mathematical Functions ID 1.14.E8

∫ - ∞ ∞ | F ⁢ ( x ) | 2 ⁢ d x = ∫ - ∞ ∞ | f ⁢ ( t ) | 2 ⁢ d t . subscript superscript superscript 𝐹 𝑥 2 𝑥 subscript superscript superscript 𝑓 𝑡 2 𝑡 {\displaystyle{\displaystyle\int^{\infty}_{-\infty}|F(x)|^{2}\mathrm{d}x=\int^% {\infty}_{-\infty}|f(t)|^{2}\mathrm{d}t.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • F ⁢ ( x ) 𝐹 𝑥 {\displaystyle{\displaystyle F(x)}} : Fourier transform of f ( t )
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This page was last edited on 3 March 2024, at 01:29.
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