Question

Extension of Sokhotski-Plemelj rule for computing integral

score 248 · Answer 1 · 2019-02-14 17:50:29

248

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Extension of Sokhotski-Plemelj rule for computing integral

Published on 14 Feb 2019 - 17:50

score 183 · Answer 2 · 2019-02-15 09:06:06

183

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Show that there exists a linear functional $T:\mathcal{D}(Q)\rightarrow\mathbb{C}$ which is not continuous.

Published on 15 Feb 2019 - 9:06

score 459 · Answer 3 · 2019-02-16 21:51:41

459

Views

Weak convergence in $W^{1,p}(\Omega)$

Published on 16 Feb 2019 - 21:51

score 516 · Answer 4 · 2019-02-16 21:59:44

516

Views

Interchanging Integration Order involving Fourier Transform

Published on 16 Feb 2019 - 21:59

score 24 · Answer 5 · 2019-02-17 23:46:45

24

Views

Integrating a delta function multiplied by a function in the distributional sense

Published on 17 Feb 2019 - 23:46

score 38 · Answer 6 · 2019-02-18 06:35:13

38

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decay of distribution derivatives implies $u \in L^\infty(\mathbb{R}^n) \cap C^0(\mathbb{R}^n)$

Published on 18 Feb 2019 - 6:35

score 507 · Answer 7 · 2026-03-25 12:25:30

507

Views

Laplacian of $1/r$ in a tensor

Published on 25 Mar 2026 - 12:25

score 469 · Answer 8 · 2019-02-18 19:44:26

469

Views

Distributions as Generalized functions

Published on 18 Feb 2019 - 19:44

score 417 · Answer 9 · 2019-02-20 16:22:05

417

Views

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

Published on 20 Feb 2019 - 16:22

score 106 · Answer 10 · 2026-03-25 19:01:24

106

Views

Optimal Control: Proof of Adjoint Lagrange method?

Published on 25 Mar 2026 - 19:01

score 1k · Answer 11 · 2019-02-25 05:32:15

1k

Views

How to show a tempered distribution is a Schwartz function?

Published on 25 Feb 2019 - 5:32

score 72 · Answer 12 · 2019-02-25 13:38:10

72

Views

Linear independence of a function in one specialized value of a variable implies linear independence at all values of the variable?

Published on 25 Feb 2019 - 13:38

score 90 · Answer 13 · 2019-02-26 04:30:30

90

Views

Approximating a bounded Borel function by a sequence of functions with compactly supported Fourier transform

Published on 26 Feb 2019 - 4:30

score 72 · Answer 14 · 2019-02-26 10:54:43

If $f\in C^\infty_c(R^2)$ can we find $f_n, g_n\in C^\infty_c(R)$ such that $(x,y)\mapsto\sum_n f_n(x)g_n(y)$ converges to $f$ in $C^\infty_c(R^2)$?

score 133 · Answer 15 · 2019-02-28 23:29:53

133

Views

When can we use Fourier transform in pde?

Published on 28 Feb 2019 - 23:29

List Question

Extension of Sokhotski-Plemelj rule for computing integral

Show that there exists a linear functional $T:\mathcal{D}(Q)\rightarrow\mathbb{C}$ which is not continuous.

Weak convergence in $W^{1,p}(\Omega)$

Interchanging Integration Order involving Fourier Transform

Integrating a delta function multiplied by a function in the distributional sense

decay of distribution derivatives implies $u \in L^\infty(\mathbb{R}^n) \cap C^0(\mathbb{R}^n)$

Laplacian of $1/r$ in a tensor

Distributions as Generalized functions

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

Optimal Control: Proof of Adjoint Lagrange method?

How to show a tempered distribution is a Schwartz function?

Linear independence of a function in one specialized value of a variable implies linear independence at all values of the variable?

Approximating a bounded Borel function by a sequence of functions with compactly supported Fourier transform

If $f\in C^\infty_c(R^2)$ can we find $f_n, g_n\in C^\infty_c(R)$ such that $(x,y)\mapsto\sum_n f_n(x)g_n(y)$ converges to $f$ in $C^\infty_c(R^2)$?

When can we use Fourier transform in pde?

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