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1.16#Ex5 - MaRDI portal

1.16#Ex5 (Q609)

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1.16#Ex5
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    1 ( 2 π ) n / 2 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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