DLMF:1.16.E42 (Q650)

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DLMF:1.16.E42
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    Statements

    test
    ℱ ⁡ ( 1 ) = 2 ⁢ π ⁢ δ , distributional-Fourier-transform 1 2 delta-distribution {\displaystyle{\displaystyle\mathscr{F}\left(1\right)=\sqrt{2\pi}\delta,}}
    0 references
    DLMF id
    DLMF:1.16.E42
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
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    Q10908
    test
    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    xml-id
    C1.S16.SS3.m1aidec
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    Fourier transform of a tempered distribution
    test
    ℱ ⁡ ( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}
    xml-id
    C1.S16.E35.m2afdec
    0 references
     
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