List questions from distribution-theory

Published on 25 Mar 2026 - 17:24

107

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How is integration by parts applied here?

Published on 25 Mar 2026 - 6:00

73

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If $f\in C_0(\mathbb R)\cap C^2(\mathbb R)$, is $bf'+\frac12\sigma^2f''\in C_0(\mathbb R)$?

Published on 26 Dec 2018 - 22:57

40

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Distributional solution of $\frac12(ah)''-(bh)'=0$

Published on 28 Dec 2018 - 0:28

415

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Fourier Transform of Exponentially Decaying Function Cannot Have Compact Support

Published on 25 Mar 2026 - 1:33

949

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Understanding why the domain of a distribution is defined to be smooth functions with compact support

Published on 29 Dec 2018 - 22:32

318

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How do you show that $e^{-a\sqrt{1+\|x\|^2}}$ is in the Schwartz space

Published on 25 Mar 2026 - 17:22

702

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Distributional Laplacian of $\log|F(z)|$ Where F is Entire

Published on 25 Mar 2026 - 12:28

1.4k

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Show that the function $f$ is a tempered distribution

Published on 25 Mar 2026 - 17:24

186

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Higher order derivatives of Composition of Dirac delta distributions

Published on 03 Jan 2019 - 7:08

164

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Find all solutions $T$ of $x^{2006} T = 0$ in the space of tempered distributions, $\mathcal{S}'(\mathbb{R})$

Published on 25 Mar 2026 - 17:21

35

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How to solve equations of the form $fT=\delta_0$?

Published on 04 Jan 2019 - 9:33

292

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Does convergence in $L^1_{\text{loc}}(\mathbb{R}^n)$ implies convergence in $\mathcal{D}'(\mathbb{R}^n)$?

Published on 04 Jan 2019 - 12:12

204

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A direct proof of the surjectivity of divergence operator

Published on 26 Mar 2026 - 6:07

626

Views

Find the solution of a distributional differential equation

Published on 24 Feb 2026 - 0:42

List Question

Equivalent definition of Schwartz space

How is integration by parts applied here?

If $f\in C_0(\mathbb R)\cap C^2(\mathbb R)$, is $bf'+\frac12\sigma^2f''\in C_0(\mathbb R)$?

Distributional solution of $\frac12(ah)''-(bh)'=0$

Fourier Transform of Exponentially Decaying Function Cannot Have Compact Support

Understanding why the domain of a distribution is defined to be smooth functions with compact support

How do you show that $e^{-a\sqrt{1+\|x\|^2}}$ is in the Schwartz space

Distributional Laplacian of $\log|F(z)|$ Where F is Entire

Show that the function $f$ is a tempered distribution

Higher order derivatives of Composition of Dirac delta distributions

Find all solutions $T$ of $x^{2006} T = 0$ in the space of tempered distributions, $\mathcal{S}'(\mathbb{R})$

How to solve equations of the form $fT=\delta_0$?

Does convergence in $L^1_{\text{loc}}(\mathbb{R}^n)$ implies convergence in $\mathcal{D}'(\mathbb{R}^n)$?

A direct proof of the surjectivity of divergence operator

Find the solution of a distributional differential equation

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