List questions from fourier-transform

Published on 11 Apr 2026 - 15:16

131

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Inverse Fourier transform of $e^{-\alpha |\xi|^2} \hat{f}(x)$

Published on 12 Apr 2026 - 1:51

94

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How to use DFT to solve 1D wave equation numerically?

Published on 11 Apr 2026 - 3:49

36

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Derivative inside Fourier integral

Published on 13 Apr 2026 - 13:53

142

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Frequency Domain of Fourier Transform

Published on 13 Apr 2026 - 6:41

258

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Ways to introduce B-splines

Published on 13 Apr 2026 - 3:22

92

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Functional derivative in Fourier space

Published on 12 Apr 2026 - 21:39

36

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How is $φ =a \sin(k\cdot r - \omega t)$ converted to $φ = ae^{(±i(k\cdot r ± \omega t) )}$ using Fourier transform?

Published on 16 Apr 2026 - 0:08

444

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Analytical solution of heat equation – no method gives the correct solution

Published on 11 Apr 2026 - 3:06

581

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Show that $\int_0^\infty \frac{\tan^{-1} ax-\tan^{-1} x}{x}~dx = \frac{1}{2}\pi ~ \ln(a)$

Published on 14 Apr 2026 - 2:54

61

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Attempt at proving a proposition about the conjugate of the Wigner Transform,where is my mistake?$\overline{W(f,g)}=W(g,f)?$

Published on 14 Apr 2026 - 23:07

44

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Scaled Fourier transform

Published on 11 Apr 2026 - 23:22

29

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Estimation of the $L^{\infty}$ norm

Published on 12 Apr 2026 - 12:31

75

Views

Long time decay of wave equation : why is it $t^{-(n-1)/2}$ instead of $t^{-n/2}$?

Published on 11 Apr 2026 - 15:12

175

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Limit of Fourier transform of indicator function

Published on 12 Apr 2026 - 18:10

List Question

Discrete Fourier Transform frequency domain

Inverse Fourier transform of $e^{-\alpha |\xi|^2} \hat{f}(x)$

How to use DFT to solve 1D wave equation numerically?

Derivative inside Fourier integral

Frequency Domain of Fourier Transform

Ways to introduce B-splines

Functional derivative in Fourier space

How is $φ =a \sin(k\cdot r - \omega t)$ converted to $φ = ae^{(±i(k\cdot r ± \omega t) )}$ using Fourier transform?

Analytical solution of heat equation – no method gives the correct solution

Show that $\int_0^\infty \frac{\tan^{-1} ax-\tan^{-1} x}{x}~dx = \frac{1}{2}\pi ~ \ln(a)$

Attempt at proving a proposition about the conjugate of the Wigner Transform,where is my mistake?$\overline{W(f,g)}=W(g,f)?$

Scaled Fourier transform

Estimation of the $L^{\infty}$ norm

Long time decay of wave equation : why is it $t^{-(n-1)/2}$ instead of $t^{-n/2}$?

Limit of Fourier transform of indicator function

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