List questions from distribution-theory

Published on 08 Apr 2026 - 21:47

93

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Lighthill derivative of $f(x)=|x|^\alpha$

Published on 14 Apr 2026 - 0:47

33

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The Dirac identity $\int \delta(f(x))g(x)dx$ on a finite interval

Published on 14 Apr 2026 - 13:01

61

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How to show $(T_k) \to \delta $ in the space of distribution $\mathcal{D'}(\mathbb{R}) $?

Published on 12 Apr 2026 - 20:47

32

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Two notions of distributional derivative on domains $Q=(0,T)\times \Omega$

Published on 14 Apr 2026 - 23:42

70

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How to compute $\langle\delta(3t+1),\phi\rangle$ in the sense of Distribution?

Published on 11 Apr 2026 - 21:04

104

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Show that the Dirac-Delta distribution is a distribution

Published on 16 Apr 2026 - 19:02

54

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Prove that $\eta^\epsilon(x)$ converges to Dirac delta

Published on 15 Apr 2026 - 12:30

260

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Solving $-u''+u=\delta'(x-1)$ using the Fourier transform

Published on 13 Apr 2026 - 10:11

1.1k

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What is the intuition behind distributional derivative and why distributional derivative is useful?

Published on 11 Apr 2026 - 14:02

93

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The Schwartz-space is not normed.

Published on 12 Apr 2026 - 8:21

53

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Why is the multiplication map $C_c^\infty \times C^\infty \to C_c^\infty$ not continuous?

Published on 13 Apr 2026 - 6:50

49

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Periodic function $f$ with Fourier coefficients $c_n (f)= 1$ for $n\geq 0$ and $-1$ otherwise

Published on 15 Apr 2026 - 2:22

62

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Derivative of a distribution is a distribution

Published on 12 Apr 2026 - 11:27

178

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Products of Dirac delta distributions in multiple dimensions

Published on 13 Apr 2026 - 22:14

List Question

Asymptotics of integral representation of distribution

Lighthill derivative of $f(x)=|x|^\alpha$

The Dirac identity $\int \delta(f(x))g(x)dx$ on a finite interval

How to show $(T_k) \to \delta $ in the space of distribution $\mathcal{D'}(\mathbb{R}) $?

Two notions of distributional derivative on domains $Q=(0,T)\times \Omega$

How to compute $\langle\delta(3t+1),\phi\rangle$ in the sense of Distribution?

Show that the Dirac-Delta distribution is a distribution

Prove that $\eta^\epsilon(x)$ converges to Dirac delta

Solving $-u''+u=\delta'(x-1)$ using the Fourier transform

What is the intuition behind distributional derivative and why distributional derivative is useful?

The Schwartz-space is not normed.

Why is the multiplication map $C_c^\infty \times C^\infty \to C_c^\infty$ not continuous?

Periodic function $f$ with Fourier coefficients $c_n (f)= 1$ for $n\geq 0$ and $-1$ otherwise

Derivative of a distribution is a distribution

Products of Dirac delta distributions in multiple dimensions

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