List questions from fourier-transform

Published on 17 Apr 2026 - 13:44

397

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Approximating a Fourier transform

Published on 14 Apr 2026 - 13:33

26

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Prouve that $\mathcal{F}\{\frac{dx(t)}{dt}\} = 2i\pi f \mathcal{F}\{x(t)\}$

Published on 16 Apr 2026 - 8:28

243

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Is there a way to prove what form the fourier transform of a random variable takes?

Published on 11 Apr 2026 - 23:10

214

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Fourier transform of $L^1$ function whose derivative is in $L^1$ and vanishes at infinity is in $L^1$

Published on 15 Apr 2026 - 4:42

29

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Solution verification: using complex substitution when calculating Fourier transform

Published on 13 Apr 2026 - 14:19

39

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How do I express a soundwave as a function?

Published on 08 Apr 2026 - 21:26

61

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Fourier transform for tempered distribution

Published on 12 Apr 2026 - 3:10

88

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prove that $\mathcal{F} (\partial_{x_j}f)(\xi) = i \xi_j \mathcal{F} f(\xi) $

Published on 14 Apr 2026 - 23:32

473

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Inverse Fourier transform of $\frac{1}{(1+x^2)}$

Published on 15 Apr 2026 - 5:19

287

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Calculate fourier transfrom $f(x) = \frac{\cos(bx)}{a^2 +x^2} $ for $a, b >0$ how should I continue from here

Published on 14 Apr 2026 - 7:54

195

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Does a positive definite and radial function imply its Fourier transform is nonnegative?

Published on 17 Apr 2026 - 14:33

63

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Summation of a series evaluation using fourier series

Published on 11 Apr 2026 - 3:18

74

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Fourier transform of $f$ is $f$

Published on 14 Apr 2026 - 2:41

34

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Counter example of "True or False" statement that is not clear for me

Published on 10 Apr 2026 - 5:49

List Question

Does Plancherel's theorem hold on the Euclidean sphere?

Approximating a Fourier transform

Prouve that $\mathcal{F}\{\frac{dx(t)}{dt}\} = 2i\pi f \mathcal{F}\{x(t)\}$

Is there a way to prove what form the fourier transform of a random variable takes?

Fourier transform of $L^1$ function whose derivative is in $L^1$ and vanishes at infinity is in $L^1$

Solution verification: using complex substitution when calculating Fourier transform

How do I express a soundwave as a function?

Fourier transform for tempered distribution

prove that $\mathcal{F} (\partial_{x_j}f)(\xi) = i \xi_j \mathcal{F} f(\xi) $

Inverse Fourier transform of $\frac{1}{(1+x^2)}$

Calculate fourier transfrom $f(x) = \frac{\cos(bx)}{a^2 +x^2} $ for $a, b >0$ how should I continue from here

Does a positive definite and radial function imply its Fourier transform is nonnegative?

Summation of a series evaluation using fourier series

Fourier transform of $f$ is $f$

Counter example of "True or False" statement that is not clear for me

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