List questions from fourier-transform

Published on 26 Mar 2026 - 3:10

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Proof of Convolution Theorem for three functions, using Dirac delta

Published on 29 Mar 2026 - 20:49

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$\int_{\mathbb{R}} |x|^{\frac{1}{2}} |f(x)|^2 dx < \infty$ and $\int_{\mathbb{R}} |\xi|^{\frac{1}{2}} |\hat{f}(\xi)|^2 d\xi = \infty$

Published on 08 Mar 2017 - 11:14

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Conditional convergence of Fourier transform

Published on 25 Mar 2026 - 13:42

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Polynomial growth of Fourier transform

Published on 08 Mar 2017 - 20:44

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Fourier Transform - Frequency Shift

Published on 08 Mar 2017 - 21:47

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The idea of the proof of a theorem.

Published on 03 Apr 2026 - 2:59

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Wave and superposition.

Published on 09 Mar 2017 - 16:18

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Using Fourier transforms to solve PDE

Published on 10 Mar 2017 - 16:13

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How to calculate this surface integral

Published on 29 Mar 2026 - 13:50

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argument of complex number/function for phase plot

Published on 29 Mar 2026 - 10:28

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Fourier Transform of $1-|x|$ for $|x|<1$

Published on 12 Mar 2017 - 1:11

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Showing $(\Delta-\frac{1}{c^2(x)}\partial^2_t)u(x,t)=0\leadsto(k^2V(x)-\Delta)\hat{u}(x,k)=k^2\hat{u}(x,k)$

Published on 29 Mar 2026 - 20:51

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Why this is a Fourier expansion if the Fourier inversion doesn't contain any $e^{-ikx}$ term?

Published on 02 Apr 2026 - 20:11

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The Fourier transform of $|x|^{-a}$, where $0<a<n$

Published on 03 Apr 2026 - 4:41

List Question

Multivariate Polynomial Multiplication using Fast Fourier Transform (FFT)

Proof of Convolution Theorem for three functions, using Dirac delta

$\int_{\mathbb{R}} |x|^{\frac{1}{2}} |f(x)|^2 dx < \infty$ and $\int_{\mathbb{R}} |\xi|^{\frac{1}{2}} |\hat{f}(\xi)|^2 d\xi = \infty$

Conditional convergence of Fourier transform

Polynomial growth of Fourier transform

Fourier Transform - Frequency Shift

The idea of the proof of a theorem.

Wave and superposition.

Using Fourier transforms to solve PDE

How to calculate this surface integral

argument of complex number/function for phase plot

Fourier Transform of $1-|x|$ for $|x|<1$

Showing $(\Delta-\frac{1}{c^2(x)}\partial^2_t)u(x,t)=0\leadsto(k^2V(x)-\Delta)\hat{u}(x,k)=k^2\hat{u}(x,k)$

Why this is a Fourier expansion if the Fourier inversion doesn't contain any $e^{-ikx}$ term?

The Fourier transform of $|x|^{-a}$, where $0<a<n$

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