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Translation property of the Fourier transform
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Analysis
Fourier analysis
Fourier inversion theorem
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For the angular-frequency convention,
F
[
f
(
x
−
a
)]
(
k
)
=
e
−
ika
f
(
k
)
,
(53)
so multiplication by a phase factor in frequency translates a function in physical space.
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Fourier inversion theorem
Fourier analysis
Analysis
Area of mathematics
Mathematics
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