Question

Deriving the value of $\int\limits_{-\infty}^\infty \frac{\sin(x)}{x} dx$ by way of Fourier transformation

score 164 · Answer 1 · 2026-04-16 23:17:04

164

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Deriving the value of $\int\limits_{-\infty}^\infty \frac{\sin(x)}{x} dx$ by way of Fourier transformation

Published on 16 Apr 2026 - 23:17

score 77 · Answer 2 · 2026-04-15 09:51:24

77

Views

A case when $fg=0$ as well as $f\bar{g}=0$

Published on 15 Apr 2026 - 9:51

score 133 · Answer 3 · 2026-04-17 11:44:01

133

Views

$M_A = M_B$ if and only if $m((A-B) \cup (B-A)) = 0$

Published on 17 Apr 2026 - 11:44

score 270 · Answer 4 · 2026-04-10 20:11:53

270

Views

In which sense the convolution product is an average? [convolution in Fourier transform]

Published on 10 Apr 2026 - 20:11

score 649 · Answer 5 · 2026-04-12 05:26:54

649

Views

Apply Fourier transform to the equation $\nabla\cdot[\mathbf{F}\delta(\mathbf{r})]=\nabla^2p$

Published on 12 Apr 2026 - 5:26

score 1.2k · Answer 6 · 2026-04-13 14:55:36

1.2k

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What is inverse Fourier transform of $\sin(3w)/w$?

Published on 13 Apr 2026 - 14:55

score 270 · Answer 7 · 2026-04-09 05:14:59

270

Views

Can I Fourier-transform a list of separate events?

Published on 09 Apr 2026 - 5:14

score 81 · Answer 8 · 2026-04-11 11:14:35

81

Views

Fourier integral and coefficients in given function

Published on 11 Apr 2026 - 11:14

score 118 · Answer 9 · 2026-04-12 01:04:20

118

Views

Function in domain of Laplacian is continuous

Published on 12 Apr 2026 - 1:04

score 42 · Answer 10 · 2026-04-15 18:39:54

42

Views

How to prove the relations $\int_{0}^{+\infty}\sin(tu)\cos(t'u)du=pp\left(\displaystyle\frac{t}{t^2-t'^2}\right)$ and

Published on 15 Apr 2026 - 18:39

score 227 · Answer 11 · 2026-04-15 12:00:52

227

Views

How to calculate $\int_{-\infty}^{+\infty}\Gamma(x+yi)\Gamma(x-yi) \, dy$?

Published on 15 Apr 2026 - 12:00

score 505 · Answer 12 · 2026-04-14 10:52:14

505

Views

Find $f(x)$ if Fourier sine transform of $f(x)$ is $\frac k{k^2+1},\,k$ being the transform variable.

Published on 14 Apr 2026 - 10:52

score 252 · Answer 13 · 2026-04-11 02:58:53

252

Views

Fourier transform of Hermite polynomial via generating function

Published on 11 Apr 2026 - 2:58

score 111 · Answer 14 · 2026-04-13 09:37:49

111

Views

inequality of oscillatory intergral

Published on 13 Apr 2026 - 9:37

score 48 · Answer 15 · 2026-04-13 10:48:32

48

Views

Real number that tends to negative infinity multiplied by complex number

Published on 13 Apr 2026 - 10:48

List Question

Deriving the value of $\int\limits_{-\infty}^\infty \frac{\sin(x)}{x} dx$ by way of Fourier transformation

A case when $fg=0$ as well as $f\bar{g}=0$

$M_A = M_B$ if and only if $m((A-B) \cup (B-A)) = 0$

In which sense the convolution product is an average? [convolution in Fourier transform]

Apply Fourier transform to the equation $\nabla\cdot[\mathbf{F}\delta(\mathbf{r})]=\nabla^2p$

What is inverse Fourier transform of $\sin(3w)/w$?

Can I Fourier-transform a list of separate events?

Fourier integral and coefficients in given function

Function in domain of Laplacian is continuous

How to prove the relations $\int_{0}^{+\infty}\sin(tu)\cos(t'u)du=pp\left(\displaystyle\frac{t}{t^2-t'^2}\right)$ and

How to calculate $\int_{-\infty}^{+\infty}\Gamma(x+yi)\Gamma(x-yi) \, dy$?

Find $f(x)$ if Fourier sine transform of $f(x)$ is $\frac k{k^2+1},\,k$ being the transform variable.

Fourier transform of Hermite polynomial via generating function

inequality of oscillatory intergral

Real number that tends to negative infinity multiplied by complex number

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