List questions from schwartz-space

Published on 16 Jan 2016 - 21:29

987

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Why is the Fourier transform of $1/|x|^\alpha$ a function?

Published on 20 Jan 2016 - 15:30

75

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The topology of $\mathbb{S}(\mathbb{R^d})$ induced by two different families of seminorms.

Published on 14 Mar 2016 - 19:56

52

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Prove that if $f\in L^p(\mathbb{R_d})$ and $\phi\in\mathbb{S^d}$ then $f*\phi\in\mathbb{C^\infty}$

Published on 14 Mar 2016 - 23:07

80

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A question on Schwartz space on the integers

Published on 22 Mar 2016 - 23:40

461

Views

Is $|x|^{-r}$ tempered distribution?

Published on 24 Mar 2016 - 11:28

198

Views

How to show Schwartz class function is rapidly decreasing?

Published on 25 Mar 2016 - 6:12

608

Views

Folland Real Analysis -- Schwartz Space example

Published on 18 Apr 2016 - 23:48

271

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Convolution of Schwartz and test function approximated by partition of unity.

Published on 20 Apr 2016 - 12:13

1.1k

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Schwartz function whose Fourier transform is compactly supported and $\geq 1$ on the unit ball.

Published on 29 Apr 2016 - 1:24

623

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Linearspan of Gaussians dense in Schwartz space

Published on 29 Apr 2016 - 21:11

551

Views

Proving function is Schwartz

Published on 02 May 2016 - 9:32

98

Views

Prove version of Bernsteins inequality $||\partial^{\alpha}f||_{L^{\infty}}\leq CR^{|\alpha|}||f||_{L^{\infty}}$

Published on 15 May 2016 - 13:02

133

Views

Embedding of Schwartz space onto L^p related spaces

Published on 16 May 2016 - 16:59

111

Views

Density of $C^{\infty}_{c}(\mathbb{R}^{N})$ in $\mathcal{S}(\mathbb{R}^{N})$

Published on 24 May 2016 - 20:03

List Question

Fourier transform of $1/|x|^{\alpha}$.

Why is the Fourier transform of $1/|x|^\alpha$ a function?

The topology of $\mathbb{S}(\mathbb{R^d})$ induced by two different families of seminorms.

Prove that if $f\in L^p(\mathbb{R_d})$ and $\phi\in\mathbb{S^d}$ then $f*\phi\in\mathbb{C^\infty}$

A question on Schwartz space on the integers

Is $|x|^{-r}$ tempered distribution?

How to show Schwartz class function is rapidly decreasing?

Folland Real Analysis -- Schwartz Space example

Convolution of Schwartz and test function approximated by partition of unity.

Schwartz function whose Fourier transform is compactly supported and $\geq 1$ on the unit ball.

Linearspan of Gaussians dense in Schwartz space

Proving function is Schwartz

Prove version of Bernsteins inequality $||\partial^{\alpha}f||_{L^{\infty}}\leq CR^{|\alpha|}||f||_{L^{\infty}}$

Embedding of Schwartz space onto L^p related spaces

Density of $C^{\infty}_{c}(\mathbb{R}^{N})$ in $\mathcal{S}(\mathbb{R}^{N})$

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