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How to show the Fourier Inverse of the Fourier transform is the identity transformation?

score 1.8k · Answer 1 · 2026-04-12 01:37:17

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How to show the Fourier Inverse of the Fourier transform is the identity transformation?

Published on 12 Apr 2026 - 1:37

score 2.7k · Answer 2 · 2026-04-11 01:34:08

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Fourier Transform of $|x|^n$

Published on 11 Apr 2026 - 1:34

score 4.5k · Answer 3 · 2026-04-13 13:35:25

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Fourier Transform of $\ln(f(t))$

Published on 13 Apr 2026 - 13:35

score 402 · Answer 4 · 2026-04-15 18:11:44

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Fourier transform of $f(x) = \chi\cos^n(\pi x)$

Published on 15 Apr 2026 - 18:11

score 1.5k · Answer 5 · 2026-04-11 01:10:14

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3D Fourier Transform for 2p state Hydrogen Atom

Published on 11 Apr 2026 - 1:10

score 889 · Answer 6 · 2026-05-11 06:20:00

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The Heisenberg uncertainty principle in the time-frequency plane

Published on 11 May 2026 - 6:20

score 3.5k · Answer 7 · 2026-04-11 23:26:47

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Fourier sine series of $f = \cos x$

Published on 11 Apr 2026 - 23:26

score 336 · Answer 8 · 2026-04-12 12:54:29

336

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General Fourier coefficients and smoothness

Published on 12 Apr 2026 - 12:54

score 7.5k · Answer 9 · 2026-04-13 01:34:41

7.5k

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Why do Fourier Series work?

Published on 13 Apr 2026 - 1:34

score 163 · Answer 10 · 2026-04-15 01:45:26

163

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Laplace-Fourier transform issue

Published on 15 Apr 2026 - 1:45

score 409 · Answer 11 · 2026-04-14 02:52:55

409

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How are sinusoids and roots of unity related to each other?

Published on 14 Apr 2026 - 2:52

score 59 · Answer 12 · 2026-04-16 18:31:43

59

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Is Fourier transform method suitable for solving equation $\int g(x-t)e^{-t^2} dt = e^{-a|x|}$

Published on 16 Apr 2026 - 18:31

score 26 · Answer 13 · 2026-04-13 06:08:33

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How to prove these two equations

Published on 13 Apr 2026 - 6:08

score 118 · Answer 14 · 2026-04-16 14:25:54

118

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Prove $ | \int_{\nu}^{\delta} \frac{\sin{((2N+1)\pi t)}}{\pi t} \,dt | \leq 2 \sup \limits_{M > 0} | \int_{0}^{M} \frac{\sin{\pi t}}{t} \,dt |$.

Published on 16 Apr 2026 - 14:25

score 304 · Answer 15 · 2026-04-16 19:28:02

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Why is the integral from 0 to 1 of $\sin(2\pi nt) \sin(2\pi mt)$ equal to 0,5 if $m$ and $n$ are equal?

Published on 16 Apr 2026 - 19:28

List Question

How to show the Fourier Inverse of the Fourier transform is the identity transformation?

Fourier Transform of $|x|^n$

Fourier Transform of $\ln(f(t))$

Fourier transform of $f(x) = \chi\cos^n(\pi x)$

3D Fourier Transform for 2p state Hydrogen Atom

The Heisenberg uncertainty principle in the time-frequency plane

Fourier sine series of $f = \cos x$

General Fourier coefficients and smoothness

Why do Fourier Series work?

Laplace-Fourier transform issue

How are sinusoids and roots of unity related to each other?

Is Fourier transform method suitable for solving equation $\int g(x-t)e^{-t^2} dt = e^{-a|x|}$

How to prove these two equations

Prove $ | \int_{\nu}^{\delta} \frac{\sin{((2N+1)\pi t)}}{\pi t} \,dt | \leq 2 \sup \limits_{M > 0} | \int_{0}^{M} \frac{\sin{\pi t}}{t} \,dt |$.

Why is the integral from 0 to 1 of $\sin(2\pi nt) \sin(2\pi mt)$ equal to 0,5 if $m$ and $n$ are equal?

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