Question

When does differentiation commute with convolution with an approximate identity?

score 493 · Answer 1 · 2026-03-24 22:06:50

493

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When does differentiation commute with convolution with an approximate identity?

Published on 24 Mar 2026 - 22:06

score 53 · Answer 2 · 2018-06-12 21:04:01

53

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Prove that $f *e^{2\pi inx} $ is a scalar multiple of $e^{2\pi inx}$ where $f $ is defined in $[0,1] $ and extended to be periodic on $\mathbb R $

Published on 12 Jun 2018 - 21:04

score 108 · Answer 3 · 2026-03-25 13:55:30

108

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Cumulative distribution function of the lifetime of a device

Published on 25 Mar 2026 - 13:55

score 38 · Answer 4 · 2018-06-16 16:05:11

38

Views

Probability question about convolution

Published on 16 Jun 2018 - 16:05

score 263 · Answer 5 · 2018-06-17 12:19:46

263

Views

Convolution of sign function with itself

Published on 17 Jun 2018 - 12:19

score 51 · Answer 6 · 2026-03-20 01:37:47

51

Views

Construct $\psi \in C^\infty_0(\mathbb{R})$ so that $\psi > 0$ on $[-M,M]$ and $\partial_x (x \psi) \ge 0$

Published on 20 Mar 2026 - 1:37

score 197 · Answer 7 · 2026-03-22 13:02:17

197

Views

Solving for a function inside a convolution

Published on 22 Mar 2026 - 13:02

score 641 · Answer 8 · 2026-03-24 23:59:18

641

Views

Relation between convolution and $L^p$ norms

Published on 24 Mar 2026 - 23:59

score 116 · Answer 9 · 2018-06-20 23:13:48

116

Views

Definition of Convolution

Published on 20 Jun 2018 - 23:13

score 230 · Answer 10 · 2026-03-25 12:47:32

230

Views

Understanding convolution and its application.

Published on 25 Mar 2026 - 12:47

score 308 · Answer 11 · 2018-06-24 08:14:40

308

Views

Sum of independent Poisson distributions and binomial theorem

Published on 24 Jun 2018 - 8:14

score 65 · Answer 12 · 2018-06-26 10:56:49

65

Views

Convolution operator in $L^p$

Published on 26 Jun 2018 - 10:56

score 65 · Answer 13 · 2018-06-27 15:25:13

65

Views

Is there a more general definition of convolution or is this abuse of notation?

Published on 27 Jun 2018 - 15:25

score 525 · Answer 14 · 2018-06-28 10:39:51

525

Views

How to solve a differential equation containing convolution?

Published on 28 Jun 2018 - 10:39

score 455 · Answer 15 · 2026-03-25 12:50:20

455

Views

Can convolution be written as $(f \ast g)(t)=\int_{\tau = -\infty}^{\infty}g(t-\tau)f(\tau)\,\mathrm{d}\tau$?

Published on 25 Mar 2026 - 12:50

List Question

When does differentiation commute with convolution with an approximate identity?

Prove that $f *e^{2\pi inx} $ is a scalar multiple of $e^{2\pi inx}$ where $f $ is defined in $[0,1] $ and extended to be periodic on $\mathbb R $

Cumulative distribution function of the lifetime of a device

Probability question about convolution

Convolution of sign function with itself

Construct $\psi \in C^\infty_0(\mathbb{R})$ so that $\psi > 0$ on $[-M,M]$ and $\partial_x (x \psi) \ge 0$

Solving for a function inside a convolution

Relation between convolution and $L^p$ norms

Definition of Convolution

Understanding convolution and its application.

Sum of independent Poisson distributions and binomial theorem

Convolution operator in $L^p$

Is there a more general definition of convolution or is this abuse of notation?

How to solve a differential equation containing convolution?

Can convolution be written as $(f \ast g)(t)=\int_{\tau = -\infty}^{\infty}g(t-\tau)f(\tau)\,\mathrm{d}\tau$?

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