Question

When does differentiation commute with convolution with an approximate identity?

score 494 · Answer 1 · 2026-05-10 13:47:18

494

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When does differentiation commute with convolution with an approximate identity?

Published on 10 May 2026 - 13:47

score 57 · Answer 2 · 2026-05-10 17:39:24

57

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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 10 May 2026 - 17:39

score 111 · Answer 3 · 2026-05-11 01:48:03

111

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Cumulative distribution function of the lifetime of a device

Published on 11 May 2026 - 1:48

score 41 · Answer 4 · 2026-04-08 16:20:39

41

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Probability question about convolution

Published on 08 Apr 2026 - 16:20

score 266 · Answer 5 · 2026-04-11 04:58:33

266

Views

Convolution of sign function with itself

Published on 11 Apr 2026 - 4:58

score 56 · Answer 6 · 2026-05-06 06:23:52

56

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

Published on 06 May 2026 - 6:23

score 203 · Answer 7 · 2026-04-29 12:42:37

203

Views

Solving for a function inside a convolution

Published on 29 Apr 2026 - 12:42

score 643 · Answer 8 · 2026-05-10 14:28:16

643

Views

Relation between convolution and $L^p$ norms

Published on 10 May 2026 - 14:28

score 119 · Answer 9 · 2026-04-11 05:58:42

119

Views

Definition of Convolution

Published on 11 Apr 2026 - 5:58

score 234 · Answer 10 · 2026-05-10 23:50:37

234

Views

Understanding convolution and its application.

Published on 10 May 2026 - 23:50

score 312 · Answer 11 · 2026-05-11 02:20:12

312

Views

Sum of independent Poisson distributions and binomial theorem

Published on 11 May 2026 - 2:20

score 68 · Answer 12 · 2026-04-11 11:35:04

68

Views

Convolution operator in $L^p$

Published on 11 Apr 2026 - 11:35

score 68 · Answer 13 · 2026-04-16 13:23:21

68

Views

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

Published on 16 Apr 2026 - 13:23

score 528 · Answer 14 · 2026-04-15 16:09:46

528

Views

How to solve a differential equation containing convolution?

Published on 15 Apr 2026 - 16:09

score 458 · Answer 15 · 2026-05-11 03:17:34

458

Views

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

Published on 11 May 2026 - 3:17

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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