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1.16#Ex4
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Formula:607
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MaRDI QID
Q607
Label: 1.16#Ex4
Digital Library of Mathematical Functions ID
1.16#Ex4
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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