DLMF:1.16.E39 (Q647): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10908 / rank
 
Normal rank
Property / Symbols used: Q10908 / qualifier
 
test:

δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}

\deltaDistribution[x]
Property / Symbols used: Q10908 / qualifier
 
xml-id: C1.S16.SS3.m1agdec
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:

ℱ ⁡ ( 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.m2addec

Latest revision as of 15:40, 1 January 2020

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DLMF:1.16.E39
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    Statements

    test
    ℱ ⁡ ( δ ) = 1 2 ⁢ π , distributional-Fourier-transform delta-distribution 1 2 {\displaystyle{\displaystyle\mathscr{F}\left(\delta\right)=\frac{1}{\sqrt{2\pi% }},}}
    0 references
    DLMF id
    DLMF:1.16.E39
    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.m2addec
    0 references
    Q10908
    test
    δ x Dirac-delta-distribution 𝑥 {\displaystyle{\displaystyle\delta_{x}}}
    xml-id
    C1.S16.SS3.m1agdec
    0 references
    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.m2addec
    0 references
     
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