List questions from schwartz-space

Published on 27 May 2016 - 11:29

3.9k

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How do you show that $f(x) = e^{-x^2}$ is in the Schwartz space $\mathcal{S}(\Bbb{R})$?

Published on 08 Nov 2013 - 17:55

373

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Integral of Schwartz function over probability measure

Published on 17 Nov 2013 - 4:26

847

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Is the Convolution of a Schwartz Function with an $ L^{p} $-Function a Smooth $ L^{p} $-Function?

Published on 17 Nov 2013 - 6:24

33

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Probability measure for Schwartz function

Published on 18 Nov 2013 - 3:28

323

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basic exercise about Schwartz spaces

Published on 20 Nov 2013 - 1:33

2.9k

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Let $S$ be the Schwartz class. Show that if $f,g\in S$, then $fg\in S$ and $fg\in S$, where $$ denotes convolution.

Published on 23 Nov 2013 - 0:42

798

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About the Fourier transform of the sign function

Published on 09 Dec 2013 - 21:55

225

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About convolution and Fourier transform

Published on 11 Dec 2013 - 19:37

284

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Derivative of sum of Schwartz functions

Published on 13 Dec 2013 - 16:19

1.4k

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About a Fourier transform of a non- integrable function.

Published on 16 Dec 2013 - 12:55

489

Views

Weighted Dirac comb as a tempered distribution?

Published on 02 Feb 2014 - 7:18

533

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Showing that a regulated function belongs to Schwartz Space

Published on 11 Feb 2014 - 20:42

518

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Problem on the integral representation of a tempered distribution

Published on 25 Feb 2014 - 16:11

393

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Why the tempered distribution is zero?

Published on 03 Mar 2014 - 9:54

List Question

Inclusion of Schwartz space on $L^p$

How do you show that $f(x) = e^{-x^2}$ is in the Schwartz space $\mathcal{S}(\Bbb{R})$?

Integral of Schwartz function over probability measure

Is the Convolution of a Schwartz Function with an $ L^{p} $-Function a Smooth $ L^{p} $-Function?

Probability measure for Schwartz function

basic exercise about Schwartz spaces

Let $S$ be the Schwartz class. Show that if $f,g\in S$, then $fg\in S$ and $fg\in S$, where $$ denotes convolution.

About the Fourier transform of the sign function

About convolution and Fourier transform

Derivative of sum of Schwartz functions

About a Fourier transform of a non- integrable function.

Weighted Dirac comb as a tempered distribution?

Showing that a regulated function belongs to Schwartz Space

Problem on the integral representation of a tempered distribution

Why the tempered distribution is zero?

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