Question

Calculating Fourier transform of the function $f(x)= \frac{x}{x^2+a^2}$

score 95 · Answer 1 · 2026-04-14 17:03:26

95

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Calculating Fourier transform of the function $f(x)= \frac{x}{x^2+a^2}$

Published on 14 Apr 2026 - 17:03

score 118 · Answer 2 · 2026-04-12 18:25:41

118

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Solve an improper integral with help of Basset's integral

Published on 12 Apr 2026 - 18:25

score 33 · Answer 3 · 2026-04-15 07:19:27

33

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I am confused on how to approach the Fourier series of a piecewise function. Here's an example of such a function:

Published on 15 Apr 2026 - 7:19

score 256 · Answer 4 · 2026-04-11 21:42:32

256

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Relating a dispersion equation to an eigenvalue equation in a Fourier transformed system of PDEs

Published on 11 Apr 2026 - 21:42

score 93 · Answer 5 · 2026-04-23 02:07:22

93

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Fourier transform of product: proof without invoking Fourier inversion theorem

Published on 23 Apr 2026 - 2:07

score 396 · Answer 6 · 2026-04-08 23:00:51

396

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Solving the Schrödinger Equation with Fourier Transforms. A few questions

Published on 08 Apr 2026 - 23:00

score 139 · Answer 7 · 2026-04-16 04:46:17

139

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Using Fourier’s transform to solve integral $ \int_{-\infty }^{\infty }\frac{t^2\cos^2t+\sin^2t-t\sin2t}{t^4}dt $

Published on 16 Apr 2026 - 4:46

score 61 · Answer 8 · 2026-04-11 16:11:09

61

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Question about approximation of the solution of heat equation on the half-line

Published on 11 Apr 2026 - 16:11

score 18 · Answer 9 · 2026-04-16 05:42:20

Can you write down the fourier transform as follows? $F(\omega)^2=\left(\int \cos(\omega t) \right)^2 +\left(\int f(t) \sin(\omega t) \right)^2 $

score 57 · Answer 10 · 2026-04-13 18:30:13

57

Views

Left and right derivative of Fourier transform of a function supported in a half-line

Published on 13 Apr 2026 - 18:30

score 393 · Answer 11 · 2026-04-13 05:23:21

393

Views

Fourier Transform of cosine in the interval $-\frac{\pi}{2}$ to $\frac{\pi}{2}$

Published on 13 Apr 2026 - 5:23

score 53 · Answer 12 · 2026-04-12 19:24:38

53

Views

Calculating autocorrelation of impulse responsed signal

Published on 12 Apr 2026 - 19:24

score 138 · Answer 13 · 2026-04-14 03:12:36

138

Views

Reverse Poincaré inequality and Fourier Transform?

Published on 14 Apr 2026 - 3:12

score 68 · Answer 14 · 2026-04-09 10:57:56

68

Views

Finding the anti-Fourier’s transform (problem with integrals)

Published on 09 Apr 2026 - 10:57

score 66 · Answer 15 · 2026-04-15 11:28:14

66

Views

$\int_{R}|f(x+t)-f(x)|dx\leq |t|^{1+\delta} \quad$ implys that $f=0$ almost everywhere.

Published on 15 Apr 2026 - 11:28

List Question

Calculating Fourier transform of the function $f(x)= \frac{x}{x^2+a^2}$

Solve an improper integral with help of Basset's integral

I am confused on how to approach the Fourier series of a piecewise function. Here's an example of such a function:

Relating a dispersion equation to an eigenvalue equation in a Fourier transformed system of PDEs

Fourier transform of product: proof without invoking Fourier inversion theorem

Solving the Schrödinger Equation with Fourier Transforms. A few questions

Using Fourier’s transform to solve integral $ \int_{-\infty }^{\infty }\frac{t^2\cos^2t+\sin^2t-t\sin2t}{t^4}dt $

Question about approximation of the solution of heat equation on the half-line

Can you write down the fourier transform as follows? $F(\omega)^2=\left(\int \cos(\omega t) \right)^2 +\left(\int f(t) \sin(\omega t) \right)^2 $

Left and right derivative of Fourier transform of a function supported in a half-line

Fourier Transform of cosine in the interval $-\frac{\pi}{2}$ to $\frac{\pi}{2}$

Calculating autocorrelation of impulse responsed signal

Reverse Poincaré inequality and Fourier Transform?

Finding the anti-Fourier’s transform (problem with integrals)

$\int_{R}|f(x+t)-f(x)|dx\leq |t|^{1+\delta} \quad$ implys that $f=0$ almost everywhere.

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