Question

Equivalence of Schwartz Space Definition

score 640 · Answer 1 · 2026-04-11 00:03:24

640

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Equivalence of Schwartz Space Definition

Published on 11 Apr 2026 - 0:03

score 161 · Answer 2 · 2026-04-15 02:43:09

161

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The Fourier Transform on Schwartz Space: concerns about $-2\pi ixf(x)\longrightarrow \frac{d}{d\xi}\hat f(\xi)$

Published on 15 Apr 2026 - 2:43

score 159 · Answer 3 · 2026-04-14 23:10:42

159

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Why it is true for rapid decreasing function $g$ that: $\sup_{x\in\mathbb{R}}|x|^{l\geq 0}|g^{(k\geq 0)}(x-y)|\leq A_{l,k}(1+|y|)^{l}$

Published on 14 Apr 2026 - 23:10

score 518 · Answer 4 · 2026-04-11 10:52:42

518

Views

Are there any sufficient conditions for a sequence to converge in Schwartz space?

Published on 11 Apr 2026 - 10:52

score 1.8k · Answer 5 · 2026-04-14 09:48:09

1.8k

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Schwartz Space is closed under differentiation and multiplication by polynomials.

Published on 14 Apr 2026 - 9:48

score 2.3k · Answer 6 · 2026-04-14 11:51:16

2.3k

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If two functions are in Schwartz space,then their convolution is also in Schwartz space

Published on 14 Apr 2026 - 11:51

score 349 · Answer 7 · 2026-04-13 08:06:59

349

Views

To bound a heat equation on a real line?

Published on 13 Apr 2026 - 8:06

score 192 · Answer 8 · 2026-04-17 12:50:22

192

Views

If $f\in S_\infty$ and $\int_{\mathbb{R}}x^pf(x)d\mu=0$ for all $p\in\mathbb{N}$ then $f\equiv 0$?

Published on 17 Apr 2026 - 12:50

score 213 · Answer 9 · 2026-04-15 22:43:13

213

Views

Is $S(\mathbb{R}^{d})$ dense in $L^{1}_{\textrm{loc}}(\mathbb{R}^{d})$?

Published on 15 Apr 2026 - 22:43

score 149 · Answer 10 · 2026-04-15 22:03:27

149

Views

Are Schwartz functions in $L^{p}$ for $0 < p < 1$?

Published on 15 Apr 2026 - 22:03

score 249 · Answer 11 · 2026-04-11 22:19:42

249

Views

A question concerning the Schwartz space

Published on 11 Apr 2026 - 22:19

score 76 · Answer 12 · 2026-04-10 14:07:51

76

Views

Verifying Distribution Equivalence for Fourier Series Expansion

Published on 10 Apr 2026 - 14:07

score 2.9k · Answer 13 · 2026-04-10 21:46:07

2.9k

Views

Are derivatives of Schwartz functions uniformly continuous?

Published on 10 Apr 2026 - 21:46

score 61 · Answer 14 · 2026-04-09 22:30:43

61

Views

Norm inequality in Schwartz class.

Published on 09 Apr 2026 - 22:30

score 91 · Answer 15 · 2026-04-16 18:47:55

91

Views

Derivatives of Schwarz functions at $x=0$.

Published on 16 Apr 2026 - 18:47

List Question

Equivalence of Schwartz Space Definition

The Fourier Transform on Schwartz Space: concerns about $-2\pi ixf(x)\longrightarrow \frac{d}{d\xi}\hat f(\xi)$

Why it is true for rapid decreasing function $g$ that: $\sup_{x\in\mathbb{R}}|x|^{l\geq 0}|g^{(k\geq 0)}(x-y)|\leq A_{l,k}(1+|y|)^{l}$

Are there any sufficient conditions for a sequence to converge in Schwartz space?

Schwartz Space is closed under differentiation and multiplication by polynomials.

If two functions are in Schwartz space,then their convolution is also in Schwartz space

To bound a heat equation on a real line?

If $f\in S_\infty$ and $\int_{\mathbb{R}}x^pf(x)d\mu=0$ for all $p\in\mathbb{N}$ then $f\equiv 0$?

Is $S(\mathbb{R}^{d})$ dense in $L^{1}_{\textrm{loc}}(\mathbb{R}^{d})$?

Are Schwartz functions in $L^{p}$ for $0 < p < 1$?

A question concerning the Schwartz space

Verifying Distribution Equivalence for Fourier Series Expansion

Are derivatives of Schwartz functions uniformly continuous?

Norm inequality in Schwartz class.

Derivatives of Schwarz functions at $x=0$.

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