Question

Show that $u$ is not in $\mathscr{D}^{\prime}_{\mathscr{F}}(\Omega)$, i.e. not a distribution of finite order

score 179 · Answer 1 · 2019-06-15 10:50:46

179

Views

Show that $u$ is not in $\mathscr{D}^{\prime}_{\mathscr{F}}(\Omega)$, i.e. not a distribution of finite order

Published on 15 Jun 2019 - 10:50

score 190 · Answer 2 · 2026-03-26 03:11:23

190

Views

Show that $\mathscr{E}(\Omega)$ is a complete metric space, i.e. the Frechet Space is complete.

Published on 26 Mar 2026 - 3:11

score 572 · Answer 3 · 2019-06-16 18:11:08

572

Views

Does any function on $L^{1}_{loc}$ define a (tempered) distribution?

Published on 16 Jun 2019 - 18:11

score 76 · Answer 4 · 2019-06-17 23:23:41

If $u \in \mathscr{D}^{\prime}(\Omega)$ and $\varphi \in C^{\infty}(\Omega)$, then supp$(\varphi u)$ $\subset$ supp$(\varphi) \cap$ supp$(u)$

score 66 · Answer 5 · 2019-06-18 19:34:48

66

Views

Making Sense of a pathological Dirac Comb as a Continuous Linear Functional

Published on 18 Jun 2019 - 19:34

score 40 · Answer 6 · 2019-06-19 22:02:07

40

Views

Finding if a function is in some space and derivation of a Dirac delta function

Published on 19 Jun 2019 - 22:02

score 486 · Answer 7 · 2019-06-26 15:39:20

486

Views

Computing the second distributional derivative of the tent function

Published on 26 Jun 2019 - 15:39

score 250 · Answer 8 · 2026-03-25 17:38:51

250

Views

A question about distributions and Lp spaces

Published on 25 Mar 2026 - 17:38

score 47 · Answer 9 · 2019-06-28 12:52:15

47

Views

Fourier transform of $\cos(a |x| + \theta )$

Published on 28 Jun 2019 - 12:52

score 124 · Answer 10 · 2026-03-25 17:42:00

124

Views

Hörmander's proof of: $ u, f \in C(\Omega) $, $ D_j u = f $ in distribution sense $ \implies $ $ D_j u = f $ classically.

Published on 25 Mar 2026 - 17:42

score 534 · Answer 11 · 2019-06-30 23:09:16

534

Views

Convergence of a distribution to delta function

Published on 30 Jun 2019 - 23:09

score 63 · Answer 12 · 2019-07-02 18:00:14

63

Views

If the product of continuous $f$ and compactly supported smooth $\chi$ is $C^1$, then $f$ is $C^1$.

Published on 02 Jul 2019 - 18:00

score 474 · Answer 13 · 2019-07-07 19:40:55

474

Views

Support of distribution

Published on 07 Jul 2019 - 19:40

score 112 · Answer 14 · 2026-03-26 17:44:34

112

Views

Dirac Delta distribution (function) confusion

Published on 26 Mar 2026 - 17:44

score 416 · Answer 15 · 2019-07-09 20:56:12

416

Views

ODEs in the space of distributions $\mathcal{D}'(a,b)$: some general solution technique.

Published on 09 Jul 2019 - 20:56

List Question

Show that $u$ is not in $\mathscr{D}^{\prime}_{\mathscr{F}}(\Omega)$, i.e. not a distribution of finite order

Show that $\mathscr{E}(\Omega)$ is a complete metric space, i.e. the Frechet Space is complete.

Does any function on $L^{1}_{loc}$ define a (tempered) distribution?

If $u \in \mathscr{D}^{\prime}(\Omega)$ and $\varphi \in C^{\infty}(\Omega)$, then supp$(\varphi u)$ $\subset$ supp$(\varphi) \cap$ supp$(u)$

Making Sense of a pathological Dirac Comb as a Continuous Linear Functional

Finding if a function is in some space and derivation of a Dirac delta function

Computing the second distributional derivative of the tent function

A question about distributions and Lp spaces

Fourier transform of $\cos(a |x| + \theta )$

Hörmander's proof of: $ u, f \in C(\Omega) $, $ D_j u = f $ in distribution sense $ \implies $ $ D_j u = f $ classically.

Convergence of a distribution to delta function

If the product of continuous $f$ and compactly supported smooth $\chi$ is $C^1$, then $f$ is $C^1$.

Support of distribution

Dirac Delta distribution (function) confusion

ODEs in the space of distributions $\mathcal{D}'(a,b)$: some general solution technique.

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