Question

Derivatives and integral of distribution valued functions

score 198 · Answer 1 · 2026-04-13 19:41:13

198

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Derivatives and integral of distribution valued functions

Published on 13 Apr 2026 - 19:41

score 112 · Answer 2 · 2026-04-12 20:15:35

112

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Question about the decay of $f\in W^{1,2}(\mathbb{R}^2)$

Published on 12 Apr 2026 - 20:15

score 127 · Answer 3 · 2026-04-13 11:11:39

127

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Why does this distribution diverge as $y \to \infty$? Looks like a contradiction.

Published on 13 Apr 2026 - 11:11

score 59 · Answer 4 · 2021-12-22 11:16:19

59

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Find Fourier transform of $f=\tiny\begin{cases}1-x^2,\:{x}\leq1\\x-1,\:x>1\\-x-1,\:x<-1\end{cases}$

Published on 22 Dec 2021 - 11:16

score 59 · Answer 5 · 2026-04-12 10:27:44

59

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A distribution differential equation

Published on 12 Apr 2026 - 10:27

score 63 · Answer 6 · 2026-04-11 22:17:22

63

Views

Problem with the derivative of Heaviside distribution

Published on 11 Apr 2026 - 22:17

score 149 · Answer 7 · 2026-04-13 19:07:11

$f\in \mathcal{C}^{\infty}_{c}(\mathbb{R})$ such that $f(0)=0$ there exists $g\in\mathcal{C}^{\infty}_{c}(\mathbb{R})$ such that $f(x)=xg(x)$

score 157 · Answer 8 · 2026-04-10 09:57:22

157

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Convolution of tempered distribution with $C_c^\infty$ function is $C_c^\infty$

Published on 10 Apr 2026 - 9:57

score 54 · Answer 9 · 2026-04-13 00:17:44

54

Views

Aproximate a piecewise continous periodic (with period 2$\pi$)function by a sequence of functions

Published on 13 Apr 2026 - 0:17

score 67 · Answer 10 · 2026-04-05 22:37:07

67

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$f(0)=0 \neq f'(0) \Rightarrow \frac{\delta(x)}{f(x)} = \frac{\delta(x)}{x f'(0)}$?

Published on 05 Apr 2026 - 22:37

score 405 · Answer 11 · 2021-12-31 03:19:20

405

Views

Show that the distribution defined by $f_n(x)=\sin(nx)$ converges to $T_0$

Published on 31 Dec 2021 - 3:19

score 53 · Answer 12 · 2026-04-11 02:01:00

53

Views

Derivation of a distribution

Published on 11 Apr 2026 - 2:01

score 59 · Answer 13 · 2026-04-10 19:08:43

59

Views

An example of distributional limit

Published on 10 Apr 2026 - 19:08

score 197 · Answer 14 · 2026-04-09 09:47:45

197

Views

How to prove that the delta function is not actually a function

Published on 09 Apr 2026 - 9:47

score 100 · Answer 15 · 2026-04-13 02:58:00

100

Views

Solve $xu = f$ distributionally, for $f \in C_c^\infty(\mathbb{R})$

Published on 13 Apr 2026 - 2:58

List Question

Derivatives and integral of distribution valued functions

Question about the decay of $f\in W^{1,2}(\mathbb{R}^2)$

Why does this distribution diverge as $y \to \infty$? Looks like a contradiction.

Find Fourier transform of $f=\tiny\begin{cases}1-x^2,\:{x}\leq1\\x-1,\:x>1\\-x-1,\:x<-1\end{cases}$

A distribution differential equation

Problem with the derivative of Heaviside distribution

$f\in \mathcal{C}^{\infty}_{c}(\mathbb{R})$ such that $f(0)=0$ there exists $g\in\mathcal{C}^{\infty}_{c}(\mathbb{R})$ such that $f(x)=xg(x)$

Convolution of tempered distribution with $C_c^\infty$ function is $C_c^\infty$

Aproximate a piecewise continous periodic (with period 2$\pi$)function by a sequence of functions

$f(0)=0 \neq f'(0) \Rightarrow \frac{\delta(x)}{f(x)} = \frac{\delta(x)}{x f'(0)}$?

Show that the distribution defined by $f_n(x)=\sin(nx)$ converges to $T_0$

Derivation of a distribution

An example of distributional limit

How to prove that the delta function is not actually a function

Solve $xu = f$ distributionally, for $f \in C_c^\infty(\mathbb{R})$

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