Question

Fourier transform of $t^n\exp(-\alpha\vert t\vert)$ $(n\geq0)$

score 375 · Answer 1 · 2026-04-14 17:27:04

375

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Fourier transform of $t^n\exp(-\alpha\vert t\vert)$ $(n\geq0)$

Published on 14 Apr 2026 - 17:27

score 50 · Answer 2 · 2026-04-14 02:03:00

50

Views

solve the infinite chord problem with the Fourier transform

Published on 14 Apr 2026 - 2:03

score 66 · Answer 3 · 2026-04-17 00:05:18

66

Views

4th order PDE -- solved using Fourier Transforms?

Published on 17 Apr 2026 - 0:05

score 109 · Answer 4 · 2026-04-16 03:23:44

109

Views

Solve $u_{tt} = c^2 u_{xx} + h(x,t)$ using Fourier transform

Published on 16 Apr 2026 - 3:23

score 93 · Answer 5 · 2026-04-14 00:30:12

93

Views

Calculate $\int_{\mathbb{R}}e^{ix\omega}(\frac{\sin(\omega)}{\omega})^2 d\omega$ using convolution theorem.

Published on 14 Apr 2026 - 0:30

score 55 · Answer 6 · 2026-04-15 06:22:09

55

Views

Calculate this sum based on the Fourier cosine transform of $e^{-x}$

Published on 15 Apr 2026 - 6:22

score 84 · Answer 7 · 2026-04-13 05:14:24

84

Views

Can someone explain period finding in either the Discrete or Quantum Fourier Transform (Shor's algorithm)

Published on 13 Apr 2026 - 5:14

score 427 · Answer 8 · 2026-04-17 00:51:41

427

Views

Time-shifting and time-scaling of Fourier transform $x(t) = \text{rect} \big(\frac{t}{2}-\frac{3}{2}\big)$

Published on 17 Apr 2026 - 0:51

score 206 · Answer 9 · 2026-04-16 12:58:40

206

Views

$f\in L^2(\mathbb{R})$ is absolutely continuous and $f' \in L^2(\mathbb{R})$ if and only if $\int |y\hat{f}(y)|^2dy<\infty$

Published on 16 Apr 2026 - 12:58

score 63 · Answer 10 · 2026-04-09 01:18:26

63

Views

Fourier transform for the a complex expression

Published on 09 Apr 2026 - 1:18

score 119 · Answer 11 · 2026-04-15 13:57:07

119

Views

Graph convolution using a diagonal filter

Published on 15 Apr 2026 - 13:57

score 390 · Answer 12 · 2026-04-11 20:28:04

390

Views

What is the one-sided Fourier transform of a constant?

Published on 11 Apr 2026 - 20:28

score 285 · Answer 13 · 2026-04-15 11:20:09

285

Views

Showing that the Fourier transform of a compactly supported Holder function satisfies an estimate

Published on 15 Apr 2026 - 11:20

score 39 · Answer 14 · 2026-04-24 09:43:11

39

Views

Solve heat equation with $w(x,0)=\exp(-|x|)$

Published on 24 Apr 2026 - 9:43

score 26 · Answer 15 · 2026-04-12 22:44:53

26

Views

What is x* when referring to the conjugate symmetry of a Fourier transform?

Published on 12 Apr 2026 - 22:44

List Question

Fourier transform of $t^n\exp(-\alpha\vert t\vert)$ $(n\geq0)$

solve the infinite chord problem with the Fourier transform

4th order PDE -- solved using Fourier Transforms?

Solve $u_{tt} = c^2 u_{xx} + h(x,t)$ using Fourier transform

Calculate $\int_{\mathbb{R}}e^{ix\omega}(\frac{\sin(\omega)}{\omega})^2 d\omega$ using convolution theorem.

Calculate this sum based on the Fourier cosine transform of $e^{-x}$

Can someone explain period finding in either the Discrete or Quantum Fourier Transform (Shor's algorithm)

Time-shifting and time-scaling of Fourier transform $x(t) = \text{rect} \big(\frac{t}{2}-\frac{3}{2}\big)$

$f\in L^2(\mathbb{R})$ is absolutely continuous and $f' \in L^2(\mathbb{R})$ if and only if $\int |y\hat{f}(y)|^2dy<\infty$

Fourier transform for the a complex expression

Graph convolution using a diagonal filter

What is the one-sided Fourier transform of a constant?

Showing that the Fourier transform of a compactly supported Holder function satisfies an estimate

Solve heat equation with $w(x,0)=\exp(-|x|)$

What is x* when referring to the conjugate symmetry of a Fourier transform?

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