List questions from fourier-transform

Published on 17 Apr 2019 - 0:52

202

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Definitions of Sobolev Spaces - are they the same?

Published on 25 Mar 2026 - 18:51

243

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Confused on Fourier Transform. What is amplitude spectrum and phase?

Published on 17 Apr 2019 - 20:29

439

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Fourier shift theorem: What happens when the shift is very large (e.g., multiplying a signal by a shifting bandpass filter)?

Published on 26 Mar 2026 - 6:29

296

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Why is $\sum_{n=0}^{N-1}e^{-2i\pi(k+k_0)n/N}=N\delta(k-N+k_0)$?

Published on 25 Mar 2026 - 5:07

49

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Does Fourier imply Laplace?

Published on 28 Mar 2026 - 19:36

63

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Substitute $g(x)=Ae^{-\beta x^2}$ into $\theta(x,t)=\frac{1}{2\sqrt{\pi\alpha t}}\int_{-\infty}^{\infty} g(\eta)\exp(-(x-\eta)^2/4\alpha t) \ d\eta$

Published on 19 Apr 2019 - 23:35

403

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how can i solve this PDE (IVP) by using Fourier transform?

Published on 20 Apr 2019 - 13:36

343

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Triple sum $\sum\limits_{a=1}^{\infty} \sum\limits_{b=1}^{\infty} \sum\limits_{c=1}^{\infty} \frac{\cos a \cos b \cos c}{a^2 + b^2 + c^2}$

Published on 29 Mar 2026 - 7:39

41

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Fourier transformation of a discrete function; conclusion of having a finite sum

Published on 19 Apr 2019 - 13:57

382

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Fourier Transform on $L^1$ is not surjective.

Published on 22 Apr 2019 - 14:58

80

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Computation of a 2D Fourier transform

Published on 22 Apr 2019 - 16:08

1k

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Question about the FFT version of the gradient of a function.

Published on 25 Mar 2026 - 9:37

749

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How do I periodically extend a function?

Published on 29 Mar 2026 - 7:37

1.3k

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Fourier Transform of Airy Equation

Published on 23 Apr 2019 - 4:13

List Question

Fourier transform of magnitude of a vector

Definitions of Sobolev Spaces - are they the same?

Confused on Fourier Transform. What is amplitude spectrum and phase?

Fourier shift theorem: What happens when the shift is very large (e.g., multiplying a signal by a shifting bandpass filter)?

Why is $\sum_{n=0}^{N-1}e^{-2i\pi(k+k_0)n/N}=N\delta(k-N+k_0)$?

Does Fourier imply Laplace?

Substitute $g(x)=Ae^{-\beta x^2}$ into $\theta(x,t)=\frac{1}{2\sqrt{\pi\alpha t}}\int_{-\infty}^{\infty} g(\eta)\exp(-(x-\eta)^2/4\alpha t) \ d\eta$

how can i solve this PDE (IVP) by using Fourier transform?

Triple sum $\sum\limits_{a=1}^{\infty} \sum\limits_{b=1}^{\infty} \sum\limits_{c=1}^{\infty} \frac{\cos a \cos b \cos c}{a^2 + b^2 + c^2}$

Fourier transformation of a discrete function; conclusion of having a finite sum

Fourier Transform on $L^1$ is not surjective.

Computation of a 2D Fourier transform

Question about the FFT version of the gradient of a function.

How do I periodically extend a function?

Fourier Transform of Airy Equation

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