Question

Convergence of distributions and Principal Value

score 51 · Answer 1 · 2023-06-04 23:00:49

51

Views

Convergence of distributions and Principal Value

Published on 04 Jun 2023 - 23:00

score 108 · Answer 2 · 2023-06-09 15:57:39

108

Views

Solve Differential equation by using Fourier transform.

Published on 09 Jun 2023 - 15:57

score 31 · Answer 3 · 2023-06-10 10:51:13

31

Views

Question about the definition for Schwartz-Space regarding $\mathbb{R}^n$ and $\mathbb{R}$

Published on 10 Jun 2023 - 10:51

score 63 · Answer 4 · 2026-03-26 06:34:29

63

Views

Proving a map $\mathbb{R}^n \rightarrow \mathscr{S}(\mathbb{R}^3)$ is $C^\infty$

Published on 26 Mar 2026 - 6:34

score 325 · Answer 5 · 2023-06-16 17:42:52

325

Views

Checking if functions are well defined Mollifiers kernels (Test functions / Bump functions)

Published on 16 Jun 2023 - 17:42

score 95 · Answer 6 · 2023-06-18 08:14:15

95

Views

Translation operator on tempered distributions converges to derivative operator

Published on 18 Jun 2023 - 8:14

score 23 · Answer 7 · 2026-03-25 19:06:41

23

Views

Schwartz functions and multi-indices, find a family of Schwartz functions with an integral condition

Published on 25 Mar 2026 - 19:06

score 14 · Answer 8 · 2026-03-02 22:42:01

14

Views

Schwartz space on cartesian

Published on 02 Mar 2026 - 22:42

score 225 · Answer 9 · 2023-07-03 16:40:52

225

Views

Proof of the Bochner-Minlos theorem for the Schwartz space

Published on 03 Jul 2023 - 16:40

score 408 · Answer 10 · 2023-07-04 01:23:51

408

Views

Is the following piecewise-defined function smooth $\in C^\infty(\mathbb{R})$?

Published on 04 Jul 2023 - 1:23

score 339 · Answer 11 · 2023-07-04 05:08:34

339

Views

Is Schwartz space canonical in any sense?

Published on 04 Jul 2023 - 5:08

score 38 · Answer 12 · 2023-07-05 15:10:51

38

Views

Covariance Kernel of the fractional Gaussian field

Published on 05 Jul 2023 - 15:10

score 64 · Answer 13 · 2023-07-12 10:57:49

64

Views

For a cont. map $A:\mathcal{S}(\mathbb{R}^n) \to \mathcal{S}'(\mathbb{R}^n)$ its kernel $K$ is a Schwartz function iff $A:\mathcal{S} \to \mathcal{S}$

Published on 12 Jul 2023 - 10:57

score 143 · Answer 14 · 2023-07-15 23:29:54

143

Views

If $f : \mathbb{R}^3 \to \mathbb{R}$ is Schwartz, is $F(x):=\int_{\mathbb{R}^3} \frac{f(y)}{\lvert x-y \rvert} d^3y$ also Schwartz?

Published on 15 Jul 2023 - 23:29

score 31 · Answer 15 · 2026-03-26 08:15:18

31

Views

$\varphi\mapsto x^\alpha \varphi$ is a continuous endomorphism in Schwartz space

Published on 26 Mar 2026 - 8:15

List Question

Convergence of distributions and Principal Value

Solve Differential equation by using Fourier transform.

Question about the definition for Schwartz-Space regarding $\mathbb{R}^n$ and $\mathbb{R}$

Proving a map $\mathbb{R}^n \rightarrow \mathscr{S}(\mathbb{R}^3)$ is $C^\infty$

Checking if functions are well defined Mollifiers kernels (Test functions / Bump functions)

Translation operator on tempered distributions converges to derivative operator

Schwartz functions and multi-indices, find a family of Schwartz functions with an integral condition

Schwartz space on cartesian

Proof of the Bochner-Minlos theorem for the Schwartz space

Is the following piecewise-defined function smooth $\in C^\infty(\mathbb{R})$?

Is Schwartz space canonical in any sense?

Covariance Kernel of the fractional Gaussian field

For a cont. map $A:\mathcal{S}(\mathbb{R}^n) \to \mathcal{S}'(\mathbb{R}^n)$ its kernel $K$ is a Schwartz function iff $A:\mathcal{S} \to \mathcal{S}$

If $f : \mathbb{R}^3 \to \mathbb{R}$ is Schwartz, is $F(x):=\int_{\mathbb{R}^3} \frac{f(y)}{\lvert x-y \rvert} d^3y$ also Schwartz?

$\varphi\mapsto x^\alpha \varphi$ is a continuous endomorphism in Schwartz space

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