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1.16.E3 - MaRDI portal

1.16.E3 (Q573)

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1.16.E3
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    Statements

    DLMF defining formula
    ⟨ Λ , ϕ ⟩ = ∫ I f ⁢ ( x ) ⁢ ϕ ⁢ ( x ) ⁢ d x . distribution Λ italic-ϕ subscript 𝐼 𝑓 𝑥 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\left\langle\Lambda,\phi\right\rangle=\int_{I}f(x)% \phi(x)\mathrm{d}x.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10879
    DLMF defining formula
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5adec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    test function
    DLMF defining formula
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S16.XMD1.m1bdec
    0 references
    interval
    DLMF defining formula
    I 𝐼 {\displaystyle{\displaystyle I}}
    xml-id
    C1.S16.XMD2.m1dec
    0 references
    mapping
    DLMF defining formula
    Λ Λ {\displaystyle{\displaystyle\Lambda}}
    xml-id
    C1.S16.XMD4.m1bdec
    0 references

    Identifiers

     
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