Question

$<f_a, \varphi> = \int_{-\infty}^{\infty} \frac{\varphi(x)}{|x|} dx$ know that $\varphi(0)=0$ - Generalized function

score 85 · Answer 1 · 2016-05-28 15:47:36

85

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$<f_a, \varphi> = \int_{-\infty}^{\infty} \frac{\varphi(x)}{|x|} dx$ know that $\varphi(0)=0$ - Generalized function

Published on 28 May 2016 - 15:47

score 990 · Answer 2 · 2016-05-28 20:17:33

990

Views

Parseval's identity holds

Published on 28 May 2016 - 20:17

score 798 · Answer 3 · 2026-03-27 05:05:49

798

Views

A characterization of tempered distributions

Published on 27 Mar 2026 - 5:05

score 130 · Answer 4 · 2026-04-01 03:33:44

130

Views

$\sum_{k \geq 1} e^{it \sqrt{\lambda_k}}$ - Theory of distribution

Published on 01 Apr 2026 - 3:33

score 2.3k · Answer 5 · 2016-05-30 20:14:48

2.3k

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$H_m(\mathbb{R}^n)$ , the completion of $C_C^{\infty}(\mathbb{R}^n)$

Published on 30 May 2016 - 20:14

score 2.9k · Answer 6 · 2026-04-02 15:21:34

2.9k

Views

Derivatives of the Dirac delta function

Published on 02 Apr 2026 - 15:21

score 13.1k · Answer 7 · 2026-04-02 15:21:40

13.1k

Views

Integral of Dirac delta function from zero to infinity

Published on 02 Apr 2026 - 15:21

score 77 · Answer 8 · 2016-06-01 20:26:16

77

Views

Proof that estimate holds

Published on 01 Jun 2016 - 20:26

score 108 · Answer 9 · 2016-06-02 14:18:39

108

Views

Construct extension of function

Published on 02 Jun 2016 - 14:18

score 130 · Answer 10 · 2026-04-01 18:15:25

130

Views

Integral of delta function and the constant for fund. solution to laplace's eq

Published on 01 Apr 2026 - 18:15

score 185 · Answer 11 · 2026-04-01 18:11:28

185

Views

Find $\sum_{k \geq 1} e^{itk}$ in the sense of distribution - $\delta(x-a)=\frac{1}{2 \pi} \int_{-\infty}^{\infty} e^{i(x-a)t}dt$

Published on 01 Apr 2026 - 18:11

score 156 · Answer 12 · 2016-06-02 23:04:37

156

Views

Weak solutions of Navier-Stokes are square integrable distributions?

Published on 02 Jun 2016 - 23:04

score 262 · Answer 13 · 2026-04-01 18:14:06

262

Views

How to solve a differential equation with a distributional free term?

Published on 01 Apr 2026 - 18:14

score 3.5k · Answer 14 · 2026-03-27 04:56:55

3.5k

Views

Definition of the convolution with tempered distributions and Schwartz function

Published on 27 Mar 2026 - 4:56

score 42 · Answer 15 · 2016-06-09 23:08:02

42

Views

Is it true that $|∇u(x)|^2\chi_\Omega=|\nabla (u \chi_\Omega)|^2$

Published on 09 Jun 2016 - 23:08

List Question

$<f_a, \varphi> = \int_{-\infty}^{\infty} \frac{\varphi(x)}{|x|} dx$ know that $\varphi(0)=0$ - Generalized function

Parseval's identity holds

A characterization of tempered distributions

$\sum_{k \geq 1} e^{it \sqrt{\lambda_k}}$ - Theory of distribution

$H_m(\mathbb{R}^n)$ , the completion of $C_C^{\infty}(\mathbb{R}^n)$

Derivatives of the Dirac delta function

Integral of Dirac delta function from zero to infinity

Proof that estimate holds

Construct extension of function

Integral of delta function and the constant for fund. solution to laplace's eq

Find $\sum_{k \geq 1} e^{itk}$ in the sense of distribution - $\delta(x-a)=\frac{1}{2 \pi} \int_{-\infty}^{\infty} e^{i(x-a)t}dt$

Weak solutions of Navier-Stokes are square integrable distributions?

How to solve a differential equation with a distributional free term?

Definition of the convolution with tempered distributions and Schwartz function

Is it true that $|∇u(x)|^2\chi_\Omega=|\nabla (u \chi_\Omega)|^2$

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