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Fourier transform of a constant - Is it a function of distance only?

score 141 · Answer 1 · 2026-04-12 01:03:30

141

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Fourier transform of a constant - Is it a function of distance only?

Published on 12 Apr 2026 - 1:03

score 622 · Answer 2 · 2026-04-13 21:15:52

622

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how to disprove uniform convergence

Published on 13 Apr 2026 - 21:15

score 1.8k · Answer 3 · 2026-04-16 00:45:52

For $f \in C_c^\infty(\mathbb{R})$, does $\hat{f}(k)\sum_{j=0}^n \frac{(-k^2)^j}{j!}$ converge to $\hat{f}(k)e^{-k^2}$ in $L^2(\mathbb{R})$.

score 96 · Answer 4 · 2026-04-13 21:14:33

96

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Why this formula doesn't work for $n=1$?

Published on 13 Apr 2026 - 21:14

score 1.3k · Answer 5 · 2026-04-10 12:15:02

1.3k

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Integral (Fourier transform) of Heaviside radial function in 3D

Published on 10 Apr 2026 - 12:15

score 2.1k · Answer 6 · 2026-05-11 00:11:55

2.1k

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Is there a difference between cosine and sine transform?

Published on 11 May 2026 - 0:11

score 9.4k · Answer 7 · 2026-04-13 21:14:29

9.4k

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Fourier series on general interval $[a,b]$

Published on 13 Apr 2026 - 21:14

score 825 · Answer 8 · 2026-04-09 06:36:03

825

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Condition that Fourier inversion formula holds

Published on 09 Apr 2026 - 6:36

score 127 · Answer 9 · 2026-04-13 21:14:30

127

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Proof about fundamental frequency for periodic functions

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score 62 · Answer 10 · 2026-04-09 17:01:26

62

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Is there a way to find an in-between 1D FFT with one less point?

Published on 09 Apr 2026 - 17:01

score 51 · Answer 11 · 2026-04-12 17:05:09

51

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when Wiener amalgam space is a subset of Lebesgue space?

Published on 12 Apr 2026 - 17:05

score 366 · Answer 12 · 2026-04-14 10:15:29

366

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Convolution and space-time Fourier transform

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score 3.8k · Answer 13 · 2026-04-11 05:33:16

3.8k

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Fourier transform of an inverse function.

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score 73 · Answer 14 · 2026-04-12 06:26:04

73

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Cosine Fourier series solution of semi-major axis nonlinear integral equaton

Published on 12 Apr 2026 - 6:26

score 1.3k · Answer 15 · 2026-05-10 17:39:43

1.3k

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in Maxima how to get Fourier transform identity ($\mathcal{F}^{-1}(\mathcal{F}(f)) = f$)?

Published on 10 May 2026 - 17:39

List Question

Fourier transform of a constant - Is it a function of distance only?

how to disprove uniform convergence

For $f \in C_c^\infty(\mathbb{R})$, does $\hat{f}(k)\sum_{j=0}^n \frac{(-k^2)^j}{j!}$ converge to $\hat{f}(k)e^{-k^2}$ in $L^2(\mathbb{R})$.

Why this formula doesn't work for $n=1$?

Integral (Fourier transform) of Heaviside radial function in 3D

Is there a difference between cosine and sine transform?

Fourier series on general interval $[a,b]$

Condition that Fourier inversion formula holds

Proof about fundamental frequency for periodic functions

Is there a way to find an in-between 1D FFT with one less point?

when Wiener amalgam space is a subset of Lebesgue space?

Convolution and space-time Fourier transform

Fourier transform of an inverse function.

Cosine Fourier series solution of semi-major axis nonlinear integral equaton

in Maxima how to get Fourier transform identity ($\mathcal{F}^{-1}(\mathcal{F}(f)) = f$)?

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