Question

How to show distribution $T$ is a constant

score 117 · Answer 1 · 2014-06-25 03:54:55

117

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How to show distribution $T$ is a constant

Published on 25 Jun 2014 - 3:54

score 4k · Answer 2 · 2026-03-27 07:13:30

4k

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Example of a smooth 'step'-function that is constant below 0 and constant above 1

Published on 27 Mar 2026 - 7:13

score 319 · Answer 3 · 2014-06-25 22:13:57

319

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partial derivatives of Dirac functions

Published on 25 Jun 2014 - 22:13

score 2.9k · Answer 4 · 2026-03-27 04:24:15

2.9k

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Approximation of the Heaviside Function whose derivative has a compact support

Published on 27 Mar 2026 - 4:24

score 741 · Answer 5 · 2014-06-30 14:47:35

741

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Line integral along an implicit curve and dirac distibution

Published on 30 Jun 2014 - 14:47

score 74 · Answer 6 · 2014-07-02 14:57:30

74

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Null space of $\mathrm{D_x} \mathrm{D_y}$ in $\mathcal{D}'(\mathbb{R}^2)$?

Published on 02 Jul 2014 - 14:57

score 3.4k · Answer 7 · 2014-07-04 14:04:00

3.4k

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Fourier transform of unit step function

Published on 04 Jul 2014 - 14:04

score 376 · Answer 8 · 2026-03-27 04:15:12

376

Views

Integral with Dirac Delta

Published on 27 Mar 2026 - 4:15

score 1k · Answer 9 · 2014-07-05 02:17:16

1k

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Show that T does not have a finite order

Published on 05 Jul 2014 - 2:17

score 134 · Answer 10 · 2026-03-25 12:37:17

134

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Example of pseudodifferential operators that smooth out the singularity of delta function

Published on 25 Mar 2026 - 12:37

score 118 · Answer 11 · 2014-07-07 03:00:53

118

Views

Let $\langle S, \psi \rangle=\sum_{n \in \mathbb N} \int_0^n \psi'(x)dx$. Is S a distribution?

Published on 07 Jul 2014 - 3:00

score 565 · Answer 12 · 2014-07-08 03:03:16

565

Views

When does the regularization of a function converges to the function?

Published on 08 Jul 2014 - 3:03

score 180 · Answer 13 · 2026-03-27 04:17:37

180

Views

Verifying that $\lim_{\alpha\to \infty} \frac{1}{\pi} \frac{\sin^2\alpha x}{\alpha x^2}= \delta(x)$

Published on 27 Mar 2026 - 4:17

score 117 · Answer 14 · 2014-07-16 19:31:21

117

Views

Distributions with support of the form $\left\lbrace x \right\rbrace$

Published on 16 Jul 2014 - 19:31

score 151 · Answer 15 · 2014-07-17 16:16:49

151

Views

Can we conclude that $\Delta (\Phi\circ u)$ is a measure, given that $\Phi$ is a particular smooth function and $u$ is in some Sobolev space?

Published on 17 Jul 2014 - 16:16

List Question

How to show distribution $T$ is a constant

Example of a smooth 'step'-function that is constant below 0 and constant above 1

partial derivatives of Dirac functions

Approximation of the Heaviside Function whose derivative has a compact support

Line integral along an implicit curve and dirac distibution

Null space of $\mathrm{D_x} \mathrm{D_y}$ in $\mathcal{D}'(\mathbb{R}^2)$?

Fourier transform of unit step function

Integral with Dirac Delta

Show that T does not have a finite order

Example of pseudodifferential operators that smooth out the singularity of delta function

Let $\langle S, \psi \rangle=\sum_{n \in \mathbb N} \int_0^n \psi'(x)dx$. Is S a distribution?

When does the regularization of a function converges to the function?

Verifying that $\lim_{\alpha\to \infty} \frac{1}{\pi} \frac{\sin^2\alpha x}{\alpha x^2}= \delta(x)$

Distributions with support of the form $\left\lbrace x \right\rbrace$

Can we conclude that $\Delta (\Phi\circ u)$ is a measure, given that $\Phi$ is a particular smooth function and $u$ is in some Sobolev space?

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