List questions from distribution-theory

Published on 30 Mar 2026 - 6:47

267

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Semi norms that generate the topology on $C_c^{\infty}(\Omega)$

Published on 01 Apr 2026 - 3:44

35

Views

Prove $f$ is $L_{loc}^1(G)$

Published on 02 Jul 2017 - 9:54

266

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Can we define $F\in L^p$ for a tempered distribution $F$?

Published on 02 Jul 2017 - 16:27

83

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Existence of the limit in $\mathcal{D}'$ of $1/x \in [-\varepsilon,\varepsilon]$

Published on 03 Apr 2026 - 1:54

213

Views

Trying to prove that $\int_{-\infty}^{1} \delta(x) \, dx = 1$

Published on 03 Apr 2026 - 1:53

325

Views

How to show that $\sum_{n=1}^{\infty} \sin(nx)=\frac{1}{2}\cot(\frac{x}{2})$ in the sense of distributions?

Published on 06 Jul 2017 - 13:44

70

Views

Trouble with a step in showing Sochozki formula

Published on 25 Mar 2026 - 23:36

1.3k

Views

Definite integral from zero to infinity delta Dirac

Published on 03 Apr 2026 - 3:32

2.7k

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Approximation of Fermi-Dirac integral $\int \text{d}x \frac{f(x,\beta)}{1+e^{\beta x}}$

Published on 08 Jul 2017 - 16:34

2.1k

Views

regular distributions

Published on 08 Jul 2017 - 16:51

1.1k

Views

Delta function at the boundary of a domain

Published on 08 Jul 2017 - 18:59

150

Views

Let $u\in\mathcal{D}'(\Omega)$ be a distribution with finite $L^1(\Omega)$ norm. Then is $u=f$ for some $f\in L^1(\Omega)$?

Published on 08 Jul 2017 - 22:53

128

Views

Derivatives of distributions in general relativity

Published on 27 Mar 2026 - 22:55

396

Views

Continuity of linear map on space of distributions

Published on 09 Jul 2017 - 10:50

List Question

Bounds on the moments of an arbitrary distributions

Semi norms that generate the topology on $C_c^{\infty}(\Omega)$

Prove $f$ is $L_{loc}^1(G)$

Can we define $F\in L^p$ for a tempered distribution $F$?

Existence of the limit in $\mathcal{D}'$ of $1/x \in [-\varepsilon,\varepsilon]$

Trying to prove that $\int_{-\infty}^{1} \delta(x) \, dx = 1$

How to show that $\sum_{n=1}^{\infty} \sin(nx)=\frac{1}{2}\cot(\frac{x}{2})$ in the sense of distributions?

Trouble with a step in showing Sochozki formula

Definite integral from zero to infinity delta Dirac

Approximation of Fermi-Dirac integral $\int \text{d}x \frac{f(x,\beta)}{1+e^{\beta x}}$

regular distributions

Delta function at the boundary of a domain

Let $u\in\mathcal{D}'(\Omega)$ be a distribution with finite $L^1(\Omega)$ norm. Then is $u=f$ for some $f\in L^1(\Omega)$?

Derivatives of distributions in general relativity

Continuity of linear map on space of distributions

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