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Sahithyan's S3
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GPT: Sahithyan's Notes
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Sahithyan's S3 — Differential Equations
Inverse Fourier Transform
Open in ChatGPT
Used to recover original function from its Fourier transform.
f
(
t
)
=
1
2
π
∫
−
∞
∞
F
(
ω
)
e
i
ω
t
d
ω
f(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty}F(\omega)e^{i\omega t}d\omega
f
(
t
)
=
2
π
1
∫
−
∞
∞
F
(
ω
)
e
iω
t
d
ω
Provided that the integral converges.