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Problem with Convolution of two rv with different distribution

score 187 · Answer 1 · 2019-12-01 23:32:54

187

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Problem with Convolution of two rv with different distribution

Published on 01 Dec 2019 - 23:32

score 68 · Answer 2 · 2026-03-25 16:09:39

68

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If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Published on 25 Mar 2026 - 16:09

score 98 · Answer 3 · 2026-03-27 09:48:11

98

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Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Published on 27 Mar 2026 - 9:48

score 20 · Answer 4 · 2026-03-28 23:16:39

20

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Is it possible to solve for the convolution kernels defining the contributions of multiple input signals to an output signal?

Published on 28 Mar 2026 - 23:16

score 500 · Answer 5 · 2026-02-24 09:13:41

500

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Why convolution in time domain is multiplication in frequency domain?

Published on 24 Feb 2026 - 9:13

score 59 · Answer 6 · 2019-12-03 05:21:23

59

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$f,g \in \mathscr{R}[-1,1] \implies f*g:[-1,1] \to \mathbb{R}$ is continuous on $[-1,1]$

Published on 03 Dec 2019 - 5:21

score 77 · Answer 7 · 2019-12-03 21:15:54

77

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Convolution of two uniform r.v

Published on 03 Dec 2019 - 21:15

score 337 · Answer 8 · 2026-03-28 03:33:22

337

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conditional expectation of uniform distribution given the realization of product of uniform distributions

Published on 28 Mar 2026 - 3:33

score 85 · Answer 9 · 2026-03-26 02:41:32

85

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Operation between Fourier transform and convolution of locally integrable function

Published on 26 Mar 2026 - 2:41

score 96 · Answer 10 · 2019-12-05 17:39:59

96

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derivative a convolution formula

Published on 05 Dec 2019 - 17:39

score 37 · Answer 11 · 2019-12-08 17:41:25

37

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Show that convolution product $f*g\in \mathcal{C}^{\infty}$ if $f,g\in L^{1}$ and$g\in \mathcal{C}^{\infty}.$

Published on 08 Dec 2019 - 17:41

score 53 · Answer 12 · 2026-03-27 17:04:54

53

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Convolution of (s+1) characteristic functions

Published on 27 Mar 2026 - 17:04

score 62 · Answer 13 · 2019-12-08 20:30:18

62

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How to show that the following subspace is dense in $L^2(\mathbb{R}).$

Published on 08 Dec 2019 - 20:30

score 163 · Answer 14 · 2026-03-28 04:33:12

163

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How to solve this problem involving convolution of negative input to delta function

Published on 28 Mar 2026 - 4:33

score 84 · Answer 15 · 2019-12-12 09:43:57

84

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Tensor product in algebra and analysis

Published on 12 Dec 2019 - 9:43

List Question

Problem with Convolution of two rv with different distribution

If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Is it possible to solve for the convolution kernels defining the contributions of multiple input signals to an output signal?

Why convolution in time domain is multiplication in frequency domain?

$f,g \in \mathscr{R}[-1,1] \implies f*g:[-1,1] \to \mathbb{R}$ is continuous on $[-1,1]$

Convolution of two uniform r.v

conditional expectation of uniform distribution given the realization of product of uniform distributions

Operation between Fourier transform and convolution of locally integrable function

derivative a convolution formula

Show that convolution product $f*g\in \mathcal{C}^{\infty}$ if $f,g\in L^{1}$ and$g\in \mathcal{C}^{\infty}.$

Convolution of (s+1) characteristic functions

How to show that the following subspace is dense in $L^2(\mathbb{R}).$

How to solve this problem involving convolution of negative input to delta function

Tensor product in algebra and analysis

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