Question

Equivalence of Schwartz Space Definition

score 637 · Answer 1 · 2014-11-03 15:03:24

637

Views

Equivalence of Schwartz Space Definition

Published on 03 Nov 2014 - 15:03

score 158 · Answer 2 · 2014-11-06 04:41:59

158

Views

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

Published on 06 Nov 2014 - 4:41

score 156 · Answer 3 · 2014-11-09 05:13:24

156

Views

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 09 Nov 2014 - 5:13

score 515 · Answer 4 · 2014-11-17 05:42:19

515

Views

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

Published on 17 Nov 2014 - 5:42

score 1.8k · Answer 5 · 2014-11-18 02:04:10

1.8k

Views

Schwartz Space is closed under differentiation and multiplication by polynomials.

Published on 18 Nov 2014 - 2:04

score 2.3k · Answer 6 · 2014-11-18 14:01:50

2.3k

Views

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

Published on 18 Nov 2014 - 14:01

score 347 · Answer 7 · 2014-11-22 05:01:41

347

Views

To bound a heat equation on a real line?

Published on 22 Nov 2014 - 5:01

score 189 · Answer 8 · 2014-11-22 20:17:49

189

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 22 Nov 2014 - 20:17

score 210 · Answer 9 · 2014-11-24 05:37:29

210

Views

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

Published on 24 Nov 2014 - 5:37

score 146 · Answer 10 · 2014-11-26 23:54:13

146

Views

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

Published on 26 Nov 2014 - 23:54

score 246 · Answer 11 · 2014-12-04 18:03:30

246

Views

A question concerning the Schwartz space

Published on 04 Dec 2014 - 18:03

score 73 · Answer 12 · 2014-12-07 17:09:56

73

Views

Verifying Distribution Equivalence for Fourier Series Expansion

Published on 07 Dec 2014 - 17:09

score 2.9k · Answer 13 · 2014-12-08 13:36:05

2.9k

Views

Are derivatives of Schwartz functions uniformly continuous?

Published on 08 Dec 2014 - 13:36

score 58 · Answer 14 · 2019-10-20 07:06:15

58

Views

Norm inequality in Schwartz class.

Published on 20 Oct 2019 - 7:06

score 86 · Answer 15 · 2019-10-30 02:48:32

86

Views

Derivatives of Schwarz functions at $x=0$.

Published on 30 Oct 2019 - 2:48

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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