DLMF:1.16#Ex5 (Q639)

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DLMF:1.16#Ex5
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    1 ( 2 ⁢ π ) n / 2 ⁢ ∫ ℝ n P ⁢ ( 𝐭 ) ⁢ ϕ ⁢ ( 𝐭 ) ⁢ e i ⁢ 𝐱 ⋅ 𝐭 ⁢ d 𝐭 = P ⁢ ( D ) ⁢ F ⁢ ( 𝐱 ) . 1 superscript 2 𝜋 𝑛 2 subscript 𝑛 𝑃 𝐭 italic-ϕ 𝐭 superscript 𝑒 ⋅ imaginary-unit 𝐱 𝐭 𝐭 𝑃 𝐷 𝐹 𝐱 {\displaystyle{\displaystyle\frac{1}{(2\pi)^{n/2}}\int_{{\mathbb{R}^{n}}}P(% \mathbf{t})\phi(\mathbf{t})e^{\mathrm{i}\mathbf{x}\cdot\mathbf{t}}\mathrm{d}% \mathbf{t}=P(D)F(\mathbf{x}).}}
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    DLMF:1.16#Ex5
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