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Question on vector valued distributions: weak time derivative calculation

score 226 · Answer 1 · 2026-03-25 14:16:13

226

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Question on vector valued distributions: weak time derivative calculation

Published on 25 Mar 2026 - 14:16

score 410 · Answer 2 · 2026-03-25 18:44:10

410

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How to properly estimate a Schwartz function

Published on 25 Mar 2026 - 18:44

score 147 · Answer 3 · 2019-01-27 22:55:55

147

Views

Which theorem is this? If $\phi(x)$ is differentiable at $0$, then there exists $\psi(x)$, continuous at $0$, such that $\phi(x) = \phi(0) + x\psi(x)$

Published on 27 Jan 2019 - 22:55

score 59 · Answer 4 · 2026-03-26 08:03:37

59

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show that $\delta''(\frac13x^3 +x) = \delta''(x) - 2\delta(x)$

Published on 26 Mar 2026 - 8:03

score 94 · Answer 5 · 2019-01-28 16:44:30

94

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show that $fp(\frac{1}{x^2})$ defines a distribution?

Published on 28 Jan 2019 - 16:44

score 698 · Answer 6 · 2019-01-28 18:30:34

698

Views

All the derivatives of distributions are also distributions, but what about the converse?

Published on 28 Jan 2019 - 18:30

score 136 · Answer 7 · 2026-02-23 16:19:03

136

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Fourier Restriction: extension operator identity

Published on 23 Feb 2026 - 16:19

score 183 · Answer 8 · 2019-01-30 15:18:56

183

Views

Fourier transform of $\frac{1}{t} \theta(t)$

Published on 30 Jan 2019 - 15:18

score 93 · Answer 9 · 2026-03-26 07:56:45

93

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Example of a compactly supported $\delta$-sequence.

Published on 26 Mar 2026 - 7:56

score 93 · Answer 10 · 2019-01-31 20:48:48

93

Views

"Derivative" of piecewise Lipschitz continuous function

Published on 31 Jan 2019 - 20:48

score 132 · Answer 11 · 2019-01-31 22:25:28

132

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show that the formula $\langle S,\phi\rangle= \sum_{n=1}^{+\infty} \phi^{(n)}(1/n)$ defines a distribution over $\mathbb{R^{*}}$

Published on 31 Jan 2019 - 22:25

score 31 · Answer 12 · 2019-02-01 13:48:03

31

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If $(a_n)_n\subseteq \Bbb{R}$ and $\left\langle T,\varphi \right\rangle=\sum^{\infty}_{n=0}a_n\varphi(n)$, then $T\in D'(\Bbb{R}).$

Published on 01 Feb 2019 - 13:48

score 55 · Answer 13 · 2019-02-02 02:00:33

55

Views

Show that $\psi$ is a distribution

Published on 02 Feb 2019 - 2:00

score 12 · Answer 14 · 2019-02-02 23:47:24

12

Views

How to select a small amount of numbers such that a distribution matches another as closely as possible?

Published on 02 Feb 2019 - 23:47

score 131 · Answer 15 · 2019-02-03 13:12:10

131

Views

Support of the Principal value of $\frac {1}{x}$

Published on 03 Feb 2019 - 13:12

List Question

Question on vector valued distributions: weak time derivative calculation

How to properly estimate a Schwartz function

Which theorem is this? If $\phi(x)$ is differentiable at $0$, then there exists $\psi(x)$, continuous at $0$, such that $\phi(x) = \phi(0) + x\psi(x)$

show that $\delta''(\frac13x^3 +x) = \delta''(x) - 2\delta(x)$

show that $fp(\frac{1}{x^2})$ defines a distribution?

All the derivatives of distributions are also distributions, but what about the converse?

Fourier Restriction: extension operator identity

Fourier transform of $\frac{1}{t} \theta(t)$

Example of a compactly supported $\delta$-sequence.

"Derivative" of piecewise Lipschitz continuous function

show that the formula $\langle S,\phi\rangle= \sum_{n=1}^{+\infty} \phi^{(n)}(1/n)$ defines a distribution over $\mathbb{R^{*}}$

If $(a_n)_n\subseteq \Bbb{R}$ and $\left\langle T,\varphi \right\rangle=\sum^{\infty}_{n=0}a_n\varphi(n)$, then $T\in D'(\Bbb{R}).$

Show that $\psi$ is a distribution

How to select a small amount of numbers such that a distribution matches another as closely as possible?

Support of the Principal value of $\frac {1}{x}$

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