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Formula:620

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Digital Library of Mathematical Functions ID 1.16.E42

ℱ ⁡ ( 1 ) = 2 ⁢ π ⁢ δ , distributional-Fourier-transform 1 2 delta-distribution {\displaystyle{\displaystyle\mathscr{F}\left(1\right)=\sqrt{2\pi}\delta,}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}} :
  • ℱ ⁡ ( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}} : Fourier transform of a tempered distribution
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