List questions from schwartz-space

Published on 26 Aug 2017 - 8:29

43

Views

Bounded linear map from $\mathscr{S} \to \mathscr{S}$

Published on 12 Sep 2017 - 4:18

72

Views

How to show that $\|x^\alpha \delta^\beta f\|^p \leq C \sum _{|\gamma|\leq d+1}\|x^{\alpha+\gamma}\delta^\beta f\|_\infty$?

Published on 28 Sep 2017 - 13:57

66

Views

Show that, $ f(x)= e ^{-\pi|x|^2}\in\mathcal S (\mathbb R^d)$.

Published on 28 Sep 2017 - 14:29

476

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Prove that , $e^{f(x)}-1$ is a schwartz class function when $f$ is a Schwartz function.

Published on 30 Sep 2017 - 14:48

1k

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Equivalent family of norms on the Schwartz space

Published on 01 Oct 2017 - 10:02

911

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Definition of Schwartz functions

Published on 01 Oct 2017 - 19:19

40

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A question concerning Schwartz subspaces with some zero derivatives at the origin

Published on 06 Oct 2017 - 16:32

37

Views

Convergence of this summation

Published on 11 Oct 2017 - 3:38

1.8k

Views

Function with zero average

Published on 16 Oct 2017 - 10:42

372

Views

Fourier Transforms and Schwartz Space

Published on 09 Nov 2017 - 2:23

145

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Schwartz space, functional analysis

Published on 16 Nov 2017 - 17:59

462

Views

linear, continuous functional, Schwartz space

Published on 16 Nov 2017 - 18:31

142

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functional analysis, Schwartz space, $L^p(\mathbb{R},\lambda)$

Published on 16 Nov 2017 - 18:45

135

Views

Tempered distribution, Schwartz space, functional analysis

Published on 21 Nov 2017 - 4:47

List Question

Supremum norm of Schwartz function in the terms of its Fourier transform

Bounded linear map from $\mathscr{S} \to \mathscr{S}$

How to show that $\|x^\alpha \delta^\beta f\|^p \leq C \sum _{|\gamma|\leq d+1}\|x^{\alpha+\gamma}\delta^\beta f\|_\infty$?

Show that, $ f(x)= e ^{-\pi|x|^2}\in\mathcal S (\mathbb R^d)$.

Prove that , $e^{f(x)}-1$ is a schwartz class function when $f$ is a Schwartz function.

Equivalent family of norms on the Schwartz space

Definition of Schwartz functions

A question concerning Schwartz subspaces with some zero derivatives at the origin

Convergence of this summation

Function with zero average

Fourier Transforms and Schwartz Space

Schwartz space, functional analysis

linear, continuous functional, Schwartz space

functional analysis, Schwartz space, $L^p(\mathbb{R},\lambda)$

Tempered distribution, Schwartz space, functional analysis

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