Question

Given $a>0$, $\frac{1}{x^2+a^2}$ is not a Schwarz function.

score 308 · Answer 1 · 2018-07-25 00:03:25

308

Views

Given $a>0$, $\frac{1}{x^2+a^2}$ is not a Schwarz function.

Published on 25 Jul 2018 - 0:03

score 432 · Answer 2 · 2026-03-23 05:20:39

432

Views

On reflexivity properties of the Schwartz space

Published on 23 Mar 2026 - 5:20

score 362 · Answer 3 · 2018-08-07 20:35:03

362

Views

On linear operators on Tempered Distributions

Published on 07 Aug 2018 - 20:35

score 101 · Answer 4 · 2018-09-14 14:21:04

101

Views

How to deduce that the rotation matrix is constant from the following?

Published on 14 Sep 2018 - 14:21

score 25 · Answer 5 · 2018-09-18 16:25:52

25

Views

For which functions/distributions X, $S(\mathbb R) \ast X \subset \ell ^{1}({\mathbb Z})$?

Published on 18 Sep 2018 - 16:25

score 536 · Answer 6 · 2018-10-29 03:26:38

536

Views

Is translation continouos in Schwartz space?

Published on 29 Oct 2018 - 3:26

score 42 · Answer 7 · 2018-11-30 06:42:16

42

Views

Wk* continuity and wk* sequential continuity on $S'$

Published on 30 Nov 2018 - 6:42

score 483 · Answer 8 · 2018-12-01 23:23:13

483

Views

Is the Schwartz topologically emebedded in space of tempered distributions?

Published on 01 Dec 2018 - 23:23

score 162 · Answer 9 · 2018-12-05 12:00:01

162

Views

Inequality in the sense of distributions

Published on 05 Dec 2018 - 12:00

score 184 · Answer 10 · 2018-12-21 17:49:43

184

Views

Differentiating Fourier Transform of a Schwarz function

Published on 21 Dec 2018 - 17:49

score 470 · Answer 11 · 2018-12-22 14:18:10

470

Views

Equivalent definition of Schwartz space

Published on 22 Dec 2018 - 14:18

score 317 · Answer 12 · 2018-12-30 11:38:47

317

Views

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

Published on 30 Dec 2018 - 11:38

score 452 · Answer 13 · 2018-12-30 20:49:50

452

Views

For a Schwartz function $f$, if $\int_{\mathbb{R}} f(x) x^n dx = 0$ for all nonnegative integers $n$, is $f$ identically 0?

Published on 30 Dec 2018 - 20:49

score 1.4k · Answer 14 · 2018-12-31 12:45:03

1.4k

Views

Show that the function $f$ is a tempered distribution

Published on 31 Dec 2018 - 12:45

score 163 · Answer 15 · 2019-01-04 05:41:39

163

Views

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

Published on 04 Jan 2019 - 5:41

List Question

Given $a>0$, $\frac{1}{x^2+a^2}$ is not a Schwarz function.

On reflexivity properties of the Schwartz space

On linear operators on Tempered Distributions

How to deduce that the rotation matrix is constant from the following?

For which functions/distributions X, $S(\mathbb R) \ast X \subset \ell ^{1}({\mathbb Z})$?

Is translation continouos in Schwartz space?

Wk* continuity and wk* sequential continuity on $S'$

Is the Schwartz topologically emebedded in space of tempered distributions?

Inequality in the sense of distributions

Differentiating Fourier Transform of a Schwarz function

Equivalent definition of Schwartz space

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

For a Schwartz function $f$, if $\int_{\mathbb{R}} f(x) x^n dx = 0$ for all nonnegative integers $n$, is $f$ identically 0?

Show that the function $f$ is a tempered distribution

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

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