DLMF:1.16.E42 (Q650): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Fourier transform of a tempered distribution / rank
 
Normal rank
Property / Symbols used: Fourier transform of a tempered distribution / qualifier
 
test:

( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}

\Fouriertransdist@{\NVar{u}}
Property / Symbols used: Fourier transform of a tempered distribution / qualifier
 
xml-id: C1.S16.E35.m2afdec

Latest revision as of 15:40, 1 January 2020

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DLMF:1.16.E42
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    Statements

    ( 1 ) = 2 π δ , distributional-Fourier-transform 1 2 delta-distribution {\displaystyle{\displaystyle\mathscr{F}\left(1\right)=\sqrt{2\pi}\delta,}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2afdec
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    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    C1.S16.SS3.m1aidec
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    ( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}
    C1.S16.E35.m2afdec
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