List questions from distribution-theory

Published on 08 Aug 2019 - 5:15

212

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Is the Laplace distribution a nascent delta function?

Published on 26 Mar 2026 - 21:08

106

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Differentiating a Distribution

Published on 25 Mar 2026 - 19:00

356

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Measurable functions with arbitrarily small periods are constant

Published on 25 Mar 2026 - 21:47

118

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Show that if two distributions have the same kernel, then one is a constant multiple of the other.

Published on 10 Aug 2019 - 15:26

138

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Green's function on the whole line

Published on 26 Mar 2026 - 2:53

315

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Fourier transform of $\log(i (x-i\epsilon))$

Published on 11 Aug 2019 - 9:48

330

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Tensor product of tempered distributions

Published on 11 Aug 2019 - 12:46

33

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$f_n(x) = \chi_{B_{\frac{1}{n}}(x_0)}/\lambda^N({B_{\frac{1}{n}}(x_0)}) \longrightarrow \delta_{x_0}$ in $\mathscr{D'}(\Omega)$

Published on 12 Aug 2019 - 10:23

440

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Convergence of Schwartz functions and tempered distributions

Published on 25 Mar 2026 - 20:15

703

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Fubini-Tonelli theorem for distributions

Published on 22 Mar 2026 - 14:35

224

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Distributional Fourier Transform of $\frac{1}{|x|^a}$

Published on 14 Aug 2019 - 19:10

73

Views

Integral limit that behaves like a delta function

Published on 26 Mar 2026 - 19:15

560

Views

Product of tempered distribution is again a tempered distribution?

Published on 25 Mar 2026 - 20:11

166

Views

Schwartz kernel of complex conjugation

Published on 18 Aug 2019 - 21:58

List Question

Convergence of a sequence of distributions to $\delta'$

Is the Laplace distribution a nascent delta function?

Differentiating a Distribution

Measurable functions with arbitrarily small periods are constant

Show that if two distributions have the same kernel, then one is a constant multiple of the other.

Green's function on the whole line

Fourier transform of $\log(i (x-i\epsilon))$

Tensor product of tempered distributions

$f_n(x) = \chi_{B_{\frac{1}{n}}(x_0)}/\lambda^N({B_{\frac{1}{n}}(x_0)}) \longrightarrow \delta_{x_0}$ in $\mathscr{D'}(\Omega)$

Convergence of Schwartz functions and tempered distributions

Fubini-Tonelli theorem for distributions

Distributional Fourier Transform of $\frac{1}{|x|^a}$

Integral limit that behaves like a delta function

Product of tempered distribution is again a tempered distribution?

Schwartz kernel of complex conjugation

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