List questions from schwartz-space

Published on 25 Mar 2026 - 4:35

37

Views

A function on $\mathcal{S}(\mathbb{R}^n)$ written as a combinations of Schwartz functions

Published on 16 Apr 2018 - 21:55

22

Views

Trying to show $\mathcal S(\Bbb R)\subset L^p(\Bbb R)\ \forall 1\leq p\leq\infty$

Published on 03 May 2018 - 13:48

144

Views

Smooth tempered distribution

Published on 25 Mar 2026 - 9:33

1.1k

Views

Homogeneous Sobolev space and distributions

Published on 21 May 2018 - 1:25

116

Views

Schwartz seminorm of Fourier transform of $\phi$ bounded above by a Schwarz seminorm of $\phi$

Published on 30 May 2018 - 19:21

269

Views

Abuse of notation with distributions

Published on 25 Mar 2026 - 10:58

89

Views

Prove that $ \Vert (\sum_{j \in \mathbb{Z}} |\phi_{2^j} * f|^2)^{1/2}\ \Vert_p \le C\Vert f\Vert_p $

Published on 01 Jun 2018 - 15:38

187

Views

Translation invariance of distributions

Published on 25 Mar 2026 - 12:26

437

Views

Structure of tempered distribution

Published on 25 Mar 2026 - 12:22

189

Views

Use Dominated Convergence theorem in Schwartz convergent sequence

Published on 25 Mar 2026 - 13:52

669

Views

Understanding Schwartz Space / How to show a function is or is not in Schwartz Space

Published on 09 Jul 2018 - 17:46

299

Views

Applying the generalised Leibniz rule multi-index form

Published on 25 Mar 2026 - 13:54

69

Views

Fourier transformation on $\{T_\theta\}$ is surjective

Published on 25 Mar 2026 - 13:53

1.1k

Views

The convolution of functions in the Schwartz Space lies in the Schwartz Space

Published on 17 Jul 2018 - 11:22

List Question

convergence for tempered distributions

A function on $\mathcal{S}(\mathbb{R}^n)$ written as a combinations of Schwartz functions

Trying to show $\mathcal S(\Bbb R)\subset L^p(\Bbb R)\ \forall 1\leq p\leq\infty$

Smooth tempered distribution

Homogeneous Sobolev space and distributions

Schwartz seminorm of Fourier transform of $\phi$ bounded above by a Schwarz seminorm of $\phi$

Abuse of notation with distributions

Prove that $ \Vert (\sum_{j \in \mathbb{Z}} |\phi_{2^j} * f|^2)^{1/2}\ \Vert_p \le C\Vert f\Vert_p $

Translation invariance of distributions

Structure of tempered distribution

Use Dominated Convergence theorem in Schwartz convergent sequence

Understanding Schwartz Space / How to show a function is or is not in Schwartz Space

Applying the generalised Leibniz rule multi-index form

Fourier transformation on $\{T_\theta\}$ is surjective

The convolution of functions in the Schwartz Space lies in the Schwartz Space

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