List questions from schwartz-space

Published on 04 Mar 2023 - 16:14

129

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Upper bound on L2 norm of derivative of Schwartz function $f \in \mathcal S(\mathbb R)$

Published on 20 Mar 2023 - 13:48

49

Views

[Fourier Inversion Theorem]: conditions for a function to be "schwartz", or at least square integrable.

Published on 24 Mar 2023 - 18:01

74

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Schwartz class functions whose Hilbert transforms are integrable must have integration zero

Published on 04 Apr 2023 - 4:46

86

Views

Fourier transform in $S'$

Published on 16 Apr 2023 - 16:06

53

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Construct a special $C_0^\infty$ function

Published on 19 Apr 2023 - 8:22

94

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If f is in Schwartz Space, then derivative is in $L^p$

Published on 02 May 2023 - 19:14

43

Views

Continuous map on space of Schwarz functions

Published on 08 May 2023 - 14:24

44

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Question about calculation in Schwartz space.

Published on 11 May 2023 - 1:28

118

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Is Schwartz space on $\mathbb{R}^n$ the closure of the span of tensor products of functions in Schwartz space on $\mathbb{R}$?

Published on 26 Mar 2026 - 6:34

42

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computing $L^p-$norm of nice function.

Published on 15 May 2023 - 11:12

72

Views

Rudin Functional Analysis: Approximation of a complex continuous function with compact support

Published on 25 May 2023 - 16:09

48

Views

If $T\frac{d}{dx} = \frac{d}{dx}T$ is it true that $T\tau_h = \tau_hT$? And viceversa?

Published on 25 May 2023 - 22:13

66

Views

Find a Fourier transform of $|\sin(x)|$ in $\mathcal{S}'(\mathbb{R})$

Published on 01 Jun 2023 - 4:24

96

Views

Fourier transform in S′

Published on 04 Jun 2023 - 13:15

List Question

Find the fundamental solution in tempered distribution

Upper bound on L2 norm of derivative of Schwartz function $f \in \mathcal S(\mathbb R)$

[Fourier Inversion Theorem]: conditions for a function to be "schwartz", or at least square integrable.

Schwartz class functions whose Hilbert transforms are integrable must have integration zero

Fourier transform in $S'$

Construct a special $C_0^\infty$ function

If f is in Schwartz Space, then derivative is in $L^p$

Continuous map on space of Schwarz functions

Question about calculation in Schwartz space.

Is Schwartz space on $\mathbb{R}^n$ the closure of the span of tensor products of functions in Schwartz space on $\mathbb{R}$?

computing $L^p-$norm of nice function.

Rudin Functional Analysis: Approximation of a complex continuous function with compact support

If $T\frac{d}{dx} = \frac{d}{dx}T$ is it true that $T\tau_h = \tau_hT$? And viceversa?

Find a Fourier transform of $|\sin(x)|$ in $\mathcal{S}'(\mathbb{R})$

Fourier transform in S′

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