List questions from fourier-transform

Published on 11 Apr 2026 - 2:58

39

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Why can't Fourier Transforms be used to extend data sets?

Published on 12 Apr 2026 - 0:53

91

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Distributional Fourier Transform of $P_{n}(\cos x)$

Published on 16 Apr 2026 - 17:13

148

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What is the convolution of $1/t$ and $\operatorname{rect}(t)$?

Published on 14 Apr 2026 - 20:43

57

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How can I find the Fourier transform of the following function?

Published on 12 Apr 2026 - 21:47

29

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Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

Published on 23 Apr 2026 - 2:19

45

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Finding finite dimensional distribution of Levy process from the characteristic function

Published on 09 Apr 2026 - 9:03

57

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Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Published on 19 Apr 2026 - 17:14

207

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Fourier transform of $e^{-|x|^4}$

Published on 12 Apr 2026 - 15:19

31

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Definition of the power spectrum

Published on 14 Apr 2026 - 2:55

46

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Can you convolve two generelized functions? how?

Published on 28 Mar 2026 - 3:29

49

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Show that if $||g||_2 = 1$, $\int_\mathbb{R} x^2 g^2(x) dx \cdot \int_\mathbb{R} \xi^2 |\mathcal{F}g|^2(\xi) dx \geq \pi / 2$

Published on 16 Apr 2026 - 8:07

85

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Fourier transform of $1/\sinh^n(x-\mathrm{i}\epsilon)$

Published on 13 Apr 2026 - 4:23

46

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What's the fourier transform of xT with T being a tempered distribution

Published on 19 Apr 2026 - 17:14

76

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Why is $\sum_{i,\:j\:\in\:I}\cos(2\pi\langle k,x_i-x_j\rangle)$ small for small $k$ whenever the $x_i$ have a minimum distance to each other?

Published on 15 Apr 2026 - 19:19

List Question

Fourier Transform of $e^{-k^2/(a^2+k^2)}$

Why can't Fourier Transforms be used to extend data sets?

Distributional Fourier Transform of $P_{n}(\cos x)$

What is the convolution of $1/t$ and $\operatorname{rect}(t)$?

How can I find the Fourier transform of the following function?

Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

Finding finite dimensional distribution of Levy process from the characteristic function

Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Fourier transform of $e^{-|x|^4}$

Definition of the power spectrum

Can you convolve two generelized functions? how?

Show that if $||g||_2 = 1$, $\int_\mathbb{R} x^2 g^2(x) dx \cdot \int_\mathbb{R} \xi^2 |\mathcal{F}g|^2(\xi) dx \geq \pi / 2$

Fourier transform of $1/\sinh^n(x-\mathrm{i}\epsilon)$

What's the fourier transform of xT with T being a tempered distribution

Why is $\sum_{i,\:j\:\in\:I}\cos(2\pi\langle k,x_i-x_j\rangle)$ small for small $k$ whenever the $x_i$ have a minimum distance to each other?

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