List questions from schwartz-space

Published on 18 Apr 2020 - 13:40

75

Views

Relationship between Fourier transforms when $\varphi(x):=f(x,0)$

Published on 21 Apr 2020 - 16:38

234

Views

Proving the continuity of Fourier Transform between Schwartz spaces via sequences

Published on 21 Apr 2020 - 19:09

288

Views

Distribution theory and Shannon sampling theorem

Published on 24 Apr 2020 - 13:01

86

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Show that $f$ is a Schwartz function if and only if $|\partial^\alpha \phi(x)| \leq C_{\alpha ,N}(1+|x|)^{-N} $

Published on 26 Apr 2020 - 20:49

66

Views

Vanishing Fourier transform and bounded functions

Published on 29 Apr 2020 - 7:02

52

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Convolution operator on $L_\infty(\ell_q)$

Published on 05 May 2020 - 16:18

263

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Radial Schwarz functions are dense in radial tempered distributions

Published on 09 May 2020 - 9:07

101

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Cartesian product of Fréchet

Published on 09 May 2020 - 14:23

219

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Schwarz space $S(\mathbb{R})$ is dense inside $L_p(\mathbb{R})$-spaces

Published on 24 May 2020 - 22:29

121

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Problem of convergence in Schwartz class

Published on 25 May 2020 - 20:31

164

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Poission Summation Formula ProofWiki question

Published on 26 May 2020 - 21:25

330

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When is the product of a Schwartz function and a smooth function guaranteed to be a Schwartz function?

Published on 28 May 2020 - 10:02

23

Views

Equivalence of two different definitions of $s'$

Published on 07 Jun 2020 - 14:41

142

Views

Eigenvalues of the one-dimensional Schrödinger operator

Published on 19 Jun 2020 - 18:21

List Question

even Schwartz function produces radial Schwartz function

Relationship between Fourier transforms when $\varphi(x):=f(x,0)$

Proving the continuity of Fourier Transform between Schwartz spaces via sequences

Distribution theory and Shannon sampling theorem

Show that $f$ is a Schwartz function if and only if $|\partial^\alpha \phi(x)| \leq C_{\alpha ,N}(1+|x|)^{-N} $

Vanishing Fourier transform and bounded functions

Convolution operator on $L_\infty(\ell_q)$

Radial Schwarz functions are dense in radial tempered distributions

Cartesian product of Fréchet

Schwarz space $S(\mathbb{R})$ is dense inside $L_p(\mathbb{R})$-spaces

Problem of convergence in Schwartz class

Poission Summation Formula ProofWiki question

When is the product of a Schwartz function and a smooth function guaranteed to be a Schwartz function?

Equivalence of two different definitions of $s'$

Eigenvalues of the one-dimensional Schrödinger operator

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