DLMF:1.16.E27 (Q627): Difference between revisions

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Property / constraint
 

ϕ 𝒟 n italic-ϕ subscript 𝒟 𝑛 {\displaystyle{\displaystyle\phi\in\mathcal{D}_{n}}}

\phi\in\mathcal{D}_{n}
Property / constraint: ϕ 𝒟 n italic-ϕ subscript 𝒟 𝑛 {\displaystyle{\displaystyle\phi\in\mathcal{D}_{n}}} / rank
 
Normal rank

Revision as of 16:50, 30 December 2019

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DLMF:1.16.E27
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    Statements

    D k f , ϕ = ( - 1 ) | k | n f ( x ) ϕ ( k ) ( x ) d x , distribution superscript 𝐷 𝑘 𝑓 italic-ϕ superscript 1 𝑘 subscript 𝑛 𝑓 𝑥 superscript italic-ϕ 𝑘 𝑥 𝑥 {\displaystyle{\displaystyle\left\langle D^{k}f,\phi\right\rangle=(-1)^{\left|% k\right|}\int_{{\mathbb{R}^{n}}}f(x)\phi^{(k)}(x)\mathrm{d}x,}}
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    DLMF:1.16.E27
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    ϕ 𝒟 n italic-ϕ subscript 𝒟 𝑛 {\displaystyle{\displaystyle\phi\in\mathcal{D}_{n}}}
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