List questions from convolution

Published on 14 Apr 2021 - 8:14

42

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A question on a Fourier transform "Plancherel-type" identity

Published on 15 Apr 2021 - 10:18

805

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The mean of exponential distributions

Published on 31 Mar 2026 - 22:29

194

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Changing of variable in a distribution defined by a convolution

Published on 30 Mar 2026 - 0:16

57

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If $\tau_x(y)=y+x$ and $\mu$ is a measure, then $x\mapsto(\mu\circ\tau_x^{-1})(B)$ is continuous

Published on 16 Apr 2021 - 10:12

45

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Differentiability of convolution of not compactly supported functions

Published on 16 Apr 2021 - 17:09

66

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Can we show $X_1,\ldots,X_k$ are independent iff $\mathcal L(X_1+\cdots+X_k)=\mathcal L(X_1)\ast\cdots\ast\mathcal L(X_k)$?

Published on 18 Apr 2021 - 5:06

39

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Why do we use the convolution and not the cross-correlation to mollify functions?

Published on 19 Apr 2021 - 17:43

134

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$L^2$ Cauchy sequence of convolution functions

Published on 06 Apr 2026 - 21:09

35

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Show that $e^{\alpha t} \ast (\frac{t^k}{k!}e^{\alpha t}) = \frac{t^{k+1}}{(k + 1)!}e^{\alpha t}$ for the convolution

Published on 21 Apr 2021 - 15:51

26

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Convolution of a particular function

Published on 21 Apr 2021 - 16:25

152

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Showing a convolution is Lipschitz. In measure.

Published on 26 Mar 2026 - 22:17

97

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PDF of $Y = \frac{X_1 + X_2 + ... + X_n}{n}$

Published on 27 Mar 2026 - 13:47

45

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Is this convolution not-in-L1?

Published on 26 Apr 2021 - 9:08

44

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understanding the convolution of random variable formula

Published on 08 Apr 2026 - 5:21

List Question

If $\mu$ has no atoms, then $\frac{x^2}{x^2+y^2} *\mu$ is continuous

A question on a Fourier transform "Plancherel-type" identity

The mean of exponential distributions

Changing of variable in a distribution defined by a convolution

If $\tau_x(y)=y+x$ and $\mu$ is a measure, then $x\mapsto(\mu\circ\tau_x^{-1})(B)$ is continuous

Differentiability of convolution of not compactly supported functions

Can we show $X_1,\ldots,X_k$ are independent iff $\mathcal L(X_1+\cdots+X_k)=\mathcal L(X_1)\ast\cdots\ast\mathcal L(X_k)$?

Why do we use the convolution and not the cross-correlation to mollify functions?

$L^2$ Cauchy sequence of convolution functions

Show that $e^{\alpha t} \ast (\frac{t^k}{k!}e^{\alpha t}) = \frac{t^{k+1}}{(k + 1)!}e^{\alpha t}$ for the convolution

Convolution of a particular function

Showing a convolution is Lipschitz. In measure.

PDF of $Y = \frac{X_1 + X_2 + ... + X_n}{n}$

Is this convolution not-in-L1?

understanding the convolution of random variable formula

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