Question

Plancherel for tempered distributions, and when does equality as tempered distributions imply equality as functions.

score 551 · Answer 1 · 2018-03-11 17:24:43

551

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Plancherel for tempered distributions, and when does equality as tempered distributions imply equality as functions.

Published on 11 Mar 2018 - 17:24

score 207 · Answer 2 · 2018-03-14 04:27:31

207

Views

Delta distribution is not induced by and tempered function

Published on 14 Mar 2018 - 4:27

score 48 · Answer 3 · 2026-03-22 11:13:39

48

Views

Deducing Fourier expansion from action of infinitesimal generators

Published on 22 Mar 2026 - 11:13

score 452 · Answer 4 · 2018-03-18 13:51:37

452

Views

Radial derivative of the characteristic function of the unit disc in $\mathbb R^2$.

Published on 18 Mar 2018 - 13:51

score 91 · Answer 5 · 2018-03-20 07:09:08

91

Views

Let $f(x)=\delta(x) $ if $ x\in (-\infty,0] $ and $f(x)=0$ if $x\in (0,\infty)$. Then $I=\int_{-\infty}^{\infty}f(x)dx=?$

Published on 20 Mar 2018 - 7:09

score 74 · Answer 6 · 2018-03-20 19:10:00

74

Views

Convolution product $T*\varphi$ in the cas $T \in \mathcal{E}'$ and $\varphi \in \mathcal{E}$

Published on 20 Mar 2018 - 19:10

score 43 · Answer 7 · 2018-03-23 09:32:54

43

Views

How to show $ \lim_{n\to \infty} ||f*\gamma_n - f||_1 = 0, \quad \forall f\in L^1(\mathbb{R}) $ where $\int_{-\infty}^\infty\gamma_n(t)dt = 1$?

Published on 23 Mar 2018 - 9:32

score 40 · Answer 8 · 2018-03-23 10:27:50

40

Views

calculate sup of a derivative of a function, and distribution

Published on 23 Mar 2018 - 10:27

score 3k · Answer 9 · 2026-03-21 23:53:16

3k

Views

Principal value of 1/x

Published on 21 Mar 2026 - 23:53

score 105 · Answer 10 · 2026-03-17 01:46:58

105

Views

$L^p(\mathbb R^n) \subset \mathcal S'(\mathbb R^n), 1 \le p < \infty$

Published on 17 Mar 2026 - 1:46

score 1.1k · Answer 11 · 2018-03-28 16:27:08

1.1k

Views

Fourier transform of Singular Function $f(x)$ with $\frac{1}{x^2}$ as $x\to 0^{+}$ and $\frac{1}{x^2} +\frac{1}{x}$ as $x\to 0^{-}$

Published on 28 Mar 2018 - 16:27

score 218 · Answer 12 · 2018-03-29 07:29:02

218

Views

How to solve Dirac Delta function having 2 centres?

Published on 29 Mar 2018 - 7:29

score 66 · Answer 13 · 2018-03-31 12:43:15

66

Views

How to properly determine Green's Function for $\partial^n$?

Published on 31 Mar 2018 - 12:43

score 149 · Answer 14 · 2018-03-31 20:24:30

149

Views

Fourier Series-Distribution

Published on 31 Mar 2018 - 20:24

score 1k · Answer 15 · 2018-03-31 21:52:00

1k

Views

Manipulating Dirac delta of absolute value function

Published on 31 Mar 2018 - 21:52

List Question

Plancherel for tempered distributions, and when does equality as tempered distributions imply equality as functions.

Delta distribution is not induced by and tempered function

Deducing Fourier expansion from action of infinitesimal generators

Radial derivative of the characteristic function of the unit disc in $\mathbb R^2$.

Let $f(x)=\delta(x) $ if $ x\in (-\infty,0] $ and $f(x)=0$ if $x\in (0,\infty)$. Then $I=\int_{-\infty}^{\infty}f(x)dx=?$

Convolution product $T*\varphi$ in the cas $T \in \mathcal{E}'$ and $\varphi \in \mathcal{E}$

How to show $ \lim_{n\to \infty} ||f*\gamma_n - f||_1 = 0, \quad \forall f\in L^1(\mathbb{R}) $ where $\int_{-\infty}^\infty\gamma_n(t)dt = 1$?

calculate sup of a derivative of a function, and distribution

Principal value of 1/x

$L^p(\mathbb R^n) \subset \mathcal S'(\mathbb R^n), 1 \le p < \infty$

Fourier transform of Singular Function $f(x)$ with $\frac{1}{x^2}$ as $x\to 0^{+}$ and $\frac{1}{x^2} +\frac{1}{x}$ as $x\to 0^{-}$

How to solve Dirac Delta function having 2 centres?

How to properly determine Green's Function for $\partial^n$?

Fourier Series-Distribution

Manipulating Dirac delta of absolute value function

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