Question

Convolution $f \ast f$, where $f \in L^{2}(\mathbb{R}^d)$ but $f \not \in L^{1}(\mathbb{R}^d)$

score 149 · Answer 1 · 2026-03-27 10:47:53

149

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Convolution $f \ast f$, where $f \in L^{2}(\mathbb{R}^d)$ but $f \not \in L^{1}(\mathbb{R}^d)$

Published on 27 Mar 2026 - 10:47

score 35 · Answer 2 · 2017-02-19 11:55:32

35

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$f_j \rightarrow f$ in $L_1$ then $\mathcal{F}(f_j) \rightarrow \mathcal{F}(f)$ in measure

Published on 19 Feb 2017 - 11:55

score 1.8k · Answer 3 · 2026-03-25 22:04:32

1.8k

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How does the phase plot of Fourier transform of sine wave look like?

Published on 25 Mar 2026 - 22:04

score 94 · Answer 4 · 2017-02-19 14:28:03

94

Views

Compute $\int_0^{2\pi}\ln(a+\cos(x-b)+\cos(x-c)+\cos(c-b))e^{ix}dx$, possibly using Fourier transform

Published on 19 Feb 2017 - 14:28

score 49 · Answer 5 · 2026-04-03 20:29:21

49

Views

Can we represent the Laplace transform visually?

Published on 03 Apr 2026 - 20:29

score 48 · Answer 6 · 2017-02-19 17:05:59

48

Views

$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

Published on 19 Feb 2017 - 17:05

score 50 · Answer 7 · 2017-02-21 07:57:45

50

Views

How can I fourier transform this function, with a special character inside

Published on 21 Feb 2017 - 7:57

score 116 · Answer 8 · 2017-02-21 14:40:01

116

Views

Fourier transformation of a Heaviside function 5

Published on 21 Feb 2017 - 14:40

score 283 · Answer 9 · 2017-02-21 16:50:59

283

Views

Fourier Cosine Transform?

Published on 21 Feb 2017 - 16:50

score 148 · Answer 10 · 2026-03-25 12:28:10

148

Views

How to measure a non-integer number of periods of a sine wave signal using harmonic analysis

Published on 25 Mar 2026 - 12:28

score 1.4k · Answer 11 · 2017-02-22 09:39:11

1.4k

Views

Derivation of integration property of Fourier transform

Published on 22 Feb 2017 - 9:39

score 360 · Answer 12 · 2026-03-25 14:21:59

360

Views

Fourier-like transformation with split-complex numbers?

Published on 25 Mar 2026 - 14:21

score 111 · Answer 13 · 2026-02-23 03:25:30

111

Views

weaker assumptions on Poisson summation formula

Published on 23 Feb 2026 - 3:25

score 105 · Answer 14 · 2017-02-23 12:32:54

105

Views

Solving convolutional PDE using a Fourier transform

Published on 23 Feb 2017 - 12:32

score 66 · Answer 15 · 2017-02-23 17:09:05

66

Views

Proving an interesting property of the discrete Fourier transform

Published on 23 Feb 2017 - 17:09

List Question

Convolution $f \ast f$, where $f \in L^{2}(\mathbb{R}^d)$ but $f \not \in L^{1}(\mathbb{R}^d)$

$f_j \rightarrow f$ in $L_1$ then $\mathcal{F}(f_j) \rightarrow \mathcal{F}(f)$ in measure

How does the phase plot of Fourier transform of sine wave look like?

Compute $\int_0^{2\pi}\ln(a+\cos(x-b)+\cos(x-c)+\cos(c-b))e^{ix}dx$, possibly using Fourier transform

Can we represent the Laplace transform visually?

$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

How can I fourier transform this function, with a special character inside

Fourier transformation of a Heaviside function 5

Fourier Cosine Transform?

How to measure a non-integer number of periods of a sine wave signal using harmonic analysis

Derivation of integration property of Fourier transform

Fourier-like transformation with split-complex numbers?

weaker assumptions on Poisson summation formula

Solving convolutional PDE using a Fourier transform

Proving an interesting property of the discrete Fourier transform

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