List questions from schwartz-space

Published on 17 Mar 2026 - 8:12

963

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Schwartz kernel theorem and dual topologies

Published on 22 Mar 2026 - 20:30

163

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Convolution Identity for Schwartz Space

Published on 22 Mar 2026 - 8:09

73

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Prove that if $f \in \mathcal L^1(\mathbb R)$ then $fx^n \in \mathcal S'(\mathbb{R})$

Published on 17 Mar 2026 - 11:26

211

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Schwartz kernel theorem and order of distribution

Published on 17 Mar 2026 - 4:06

311

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Help understanding the weak topology on the dual of the Schwartz space?

Published on 22 Mar 2026 - 14:49

1.4k

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Why is the space of compactly supported smooth functions contained in the Schwartz space?

Published on 25 Mar 2026 - 6:21

53

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reshape $(2\pi)^{-n/2} \int_{\mathbb R^n} \mathcal F(\varphi) (\xi) e^{- \frac{\varepsilon^2|\xi|^2}{2}} e^{i\langle x, \xi \rangle} d\xi$

Published on 25 Mar 2026 - 8:23

160

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Continuity of Fourier Transform between Schwartz Space

Published on 17 Mar 2026 - 11:24

517

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If $\hat{f}\in L^2(\mathbb{R})$ then $\hat{f}$ is rapidly decreasing.

Published on 17 Mar 2026 - 3:37

1.8k

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Equivalent definitions of Schwartz Space

Published on 25 Mar 2026 - 9:44

107

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$L^p(\mathbb R^n) \subset \mathcal S'(\mathbb R^n), 1 \le p < \infty$

Published on 25 Mar 2026 - 4:21

187

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A "Schwartz function" of Schwartz function?

Published on 22 Mar 2026 - 17:02

555

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Definition of Schwartz space

Published on 21 Mar 2026 - 23:45

81

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Proving existence of a Brownian functional

Published on 25 Mar 2026 - 9:30

List Question

Why is it so obvious that $x^k e^{-\frac{x^2}{2}}$ is a Schwartz-function? (Verification)

Schwartz kernel theorem and dual topologies

Convolution Identity for Schwartz Space

Prove that if $f \in \mathcal L^1(\mathbb R)$ then $fx^n \in \mathcal S'(\mathbb{R})$

Schwartz kernel theorem and order of distribution

Help understanding the weak topology on the dual of the Schwartz space?

Why is the space of compactly supported smooth functions contained in the Schwartz space?

reshape $(2\pi)^{-n/2} \int_{\mathbb R^n} \mathcal F(\varphi) (\xi) e^{- \frac{\varepsilon^2|\xi|^2}{2}} e^{i\langle x, \xi \rangle} d\xi$

Continuity of Fourier Transform between Schwartz Space

If $\hat{f}\in L^2(\mathbb{R})$ then $\hat{f}$ is rapidly decreasing.

Equivalent definitions of Schwartz Space

$L^p(\mathbb R^n) \subset \mathcal S'(\mathbb R^n), 1 \le p < \infty$

A "Schwartz function" of Schwartz function?

Definition of Schwartz space

Proving existence of a Brownian functional

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