List questions from distribution-theory

Published on 15 Apr 2026 - 14:36

92

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Computing integral that involves Dirac Delta Function

Published on 11 Apr 2026 - 14:10

56

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Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Published on 14 Apr 2026 - 16:36

46

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Can you convolve two generelized functions? how?

Published on 28 Mar 2026 - 3:29

51

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What is the Laplace transform of the distribution $\delta \left(\cos \left(\frac{1}{x}\right)\right)$?

Published on 15 Apr 2026 - 23:40

84

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What is $\int_{-\infty }^{\infty }|x| \delta \left(x^2\right) \, dx$?

Published on 15 Apr 2026 - 17:21

45

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What's the fourier transform of xT with T being a tempered distribution

Published on 13 Apr 2026 - 15:02

124

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Convolution of distribution and test function: continuity at the distribution variable

Published on 13 Apr 2026 - 4:35

30

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Integrability of $e^{iax}$ on $\mathbb{R}$

Published on 13 Apr 2026 - 9:39

253

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Completeness of Besov spaces

Published on 12 Apr 2026 - 9:04

69

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How to compute the distributional derivative of $\operatorname{sgn}(x){\rm e}^{-\lvert x \rvert}$?

Published on 14 Apr 2026 - 7:25

48

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Integral with the derivative of the Dirac's Delta

Published on 15 Apr 2026 - 5:17

18

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Conditions for $\partial_S E(g(S))=E(\partial_S g(S))$ regarding derivative in the distributional sense

Published on 12 Apr 2026 - 21:39

94

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Limit in the sense of distributions of $n^2\chi_{[-1/n,0[}$ - $n^2\chi_{]0,1/n]}$

Published on 13 Apr 2026 - 20:26

264

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Convolution of distributions, compact support

Published on 12 Apr 2026 - 6:40

List Question

How to prove that this distribution is $L^2_{loc}$?

Computing integral that involves Dirac Delta Function

Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Can you convolve two generelized functions? how?

What is the Laplace transform of the distribution $\delta \left(\cos \left(\frac{1}{x}\right)\right)$?

What is $\int_{-\infty }^{\infty }|x| \delta \left(x^2\right) \, dx$?

What's the fourier transform of xT with T being a tempered distribution

Convolution of distribution and test function: continuity at the distribution variable

Integrability of $e^{iax}$ on $\mathbb{R}$

Completeness of Besov spaces

How to compute the distributional derivative of $\operatorname{sgn}(x){\rm e}^{-\lvert x \rvert}$?

Integral with the derivative of the Dirac's Delta

Conditions for $\partial_S E(g(S))=E(\partial_S g(S))$ regarding derivative in the distributional sense

Limit in the sense of distributions of $n^2\chi_{[-1/n,0[}$ - $n^2\chi_{]0,1/n]}$

Convolution of distributions, compact support

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