DLMF:1.16#Ex4 (Q637)

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DLMF:1.16#Ex4
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    1 ( 2 ⁢ π ) n / 2 ⁢ ∫ ℝ n ( P ⁢ ( D ) ⁢ ϕ ) ⁢ ( 𝐭 ) ⁢ e i ⁢ 𝐱 ⋅ 𝐭 ⁢ d 𝐭 = P ⁢ ( - 𝐱 ) ⁢ F ⁢ ( 𝐱 ) . 1 superscript 2 𝜋 𝑛 2 subscript 𝑛 𝑃 𝐷 italic-ϕ 𝐭 superscript 𝑒 ⋅ 𝑖 𝐱 𝐭 𝐭 𝑃 𝐱 𝐹 𝐱 {\displaystyle{\displaystyle\frac{1}{(2\pi)^{n/2}}\int_{{\mathbb{R}^{n}}}(P(D)% \phi)(\mathbf{t})e^{i\mathbf{x}\cdot\mathbf{t}}\mathrm{d}\mathbf{t}=P(-\mathbf% {x})F(\mathbf{x}).}}
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    DLMF:1.16#Ex4
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