Question

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

score 311 · Answer 1 · 2026-04-14 11:19:41

311

Views

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

Published on 14 Apr 2026 - 11:19

score 436 · Answer 2 · 2026-04-21 13:49:50

436

Views

On reflexivity properties of the Schwartz space

Published on 21 Apr 2026 - 13:49

score 365 · Answer 3 · 2026-04-12 20:04:44

365

Views

On linear operators on Tempered Distributions

Published on 12 Apr 2026 - 20:04

score 104 · Answer 4 · 2026-04-11 10:22:39

104

Views

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

Published on 11 Apr 2026 - 10:22

score 28 · Answer 5 · 2026-04-16 05:48:53

28

Views

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

Published on 16 Apr 2026 - 5:48

score 539 · Answer 6 · 2026-04-10 21:49:26

539

Views

Is translation continouos in Schwartz space?

Published on 10 Apr 2026 - 21:49

score 45 · Answer 7 · 2026-04-14 01:01:08

45

Views

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

Published on 14 Apr 2026 - 1:01

score 486 · Answer 8 · 2026-04-12 19:30:39

486

Views

Is the Schwartz topologically emebedded in space of tempered distributions?

Published on 12 Apr 2026 - 19:30

score 166 · Answer 9 · 2026-04-12 15:59:46

166

Views

Inequality in the sense of distributions

Published on 12 Apr 2026 - 15:59

score 187 · Answer 10 · 2026-04-10 19:51:44

187

Views

Differentiating Fourier Transform of a Schwarz function

Published on 10 Apr 2026 - 19:51

score 473 · Answer 11 · 2026-04-14 15:09:42

473

Views

Equivalent definition of Schwartz space

Published on 14 Apr 2026 - 15:09

score 319 · Answer 12 · 2026-04-15 08:54:26

319

Views

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

Published on 15 Apr 2026 - 8:54

score 455 · Answer 13 · 2026-04-15 17:20:17

455

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 15 Apr 2026 - 17:20

score 1.4k · Answer 14 · 2026-04-13 08:40:17

1.4k

Views

Show that the function $f$ is a tempered distribution

Published on 13 Apr 2026 - 8:40

score 166 · Answer 15 · 2026-04-16 00:27:03

166

Views

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

Published on 16 Apr 2026 - 0:27

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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