DLMF:1.16.E36 (Q642)

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DLMF:1.16.E36
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    Statements

    Defining formula
    ⟨ ℱ ⁡ ( P ⁢ ( 𝐃 ) ⁢ u ) , ϕ ⟩ = ⟨ P - ⁢ ℱ ⁡ ( u ) , ϕ ⟩ = ⟨ ℱ ⁡ ( u ) , P - ⁢ ϕ ⟩ , distribution distributional-Fourier-transform 𝑃 𝐃 𝑢 italic-ϕ distribution subscript 𝑃 distributional-Fourier-transform 𝑢 italic-ϕ distribution distributional-Fourier-transform 𝑢 subscript 𝑃 italic-ϕ {\displaystyle{\displaystyle\left\langle\mathscr{F}\left(P(\mathbf{D})u\right)% ,\phi\right\rangle=\left\langle P_{-}\mathscr{F}\left(u\right),\phi\right% \rangle=\left\langle\mathscr{F}\left(u\right),P_{-}\phi\right\rangle,}}
    0 references
    DLMF id
    DLMF:1.16.E36
    0 references
    Symbols used
    Q10905
    Defining formula
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5andec
    0 references
     
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