Question

For every $A\in \mathcal{L}(C^\infty(\mathbb T^n))$ exists $k_A\in C^\infty(\mathbb T^n\times \mathbb T^n)$ such that..

score 30 · Answer 1 · 2013-10-20 12:37:45

30

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For every $A\in \mathcal{L}(C^\infty(\mathbb T^n))$ exists $k_A\in C^\infty(\mathbb T^n\times \mathbb T^n)$ such that..

Published on 20 Oct 2013 - 12:37

score 2.9k · Answer 2 · 2013-10-22 20:57:24

2.9k

Views

Integrals with Dirac delta function, $\int\delta[(x-a)(x-b)]f(x)\, dx $

Published on 22 Oct 2013 - 20:57

score 1.7k · Answer 3 · 2013-10-24 15:49:12

1.7k

Views

Representing the dirac distribution in $H^1(\mathbb R)$ through the scalar product

Published on 24 Oct 2013 - 15:49

score 238 · Answer 4 · 2013-10-26 19:51:05

238

Views

Solve the following differential equaction in the sense of distribution

Published on 26 Oct 2013 - 19:51

score 579 · Answer 5 · 2013-10-26 20:38:41

579

Views

How to show a function is a test function?

Published on 26 Oct 2013 - 20:38

score 161 · Answer 6 · 2013-10-28 10:42:10

161

Views

Convergence of $\frac{1}{\sqrt{2\pi i\varepsilon}}\exp\left( -\frac{x^2}{2i\varepsilon}\right)$ as $\varepsilon \to 0$

Published on 28 Oct 2013 - 10:42

score 1.6k · Answer 7 · 2013-10-29 15:57:57

1.6k

Views

If a Radon measure is a tempered distribution, does it integrate all Schwartz functions?

Published on 29 Oct 2013 - 15:57

score 396 · Answer 8 · 2013-10-29 21:07:14

396

Views

Does distributional convergence imply weak convergence

Published on 29 Oct 2013 - 21:07

score 125 · Answer 9 · 2013-10-31 23:49:44

125

Views

Confused by a proof in Strichartz' book on Fourier Transforms

Published on 31 Oct 2013 - 23:49

score 563 · Answer 10 · 2013-11-05 15:05:42

563

Views

On the composition of smooth funtions with distributions (generalized functions)

Published on 05 Nov 2013 - 15:05

score 2k · Answer 11 · 2013-11-05 23:38:57

2k

Views

about the derivative of dirac delta distribution

Published on 05 Nov 2013 - 23:38

score 261 · Answer 12 · 2013-11-06 05:26:29

261

Views

Continuity condition for distributions in Rudin Functional Analysis

Published on 06 Nov 2013 - 5:26

score 267 · Answer 13 · 2013-11-07 07:31:27

267

Views

Distribution theory problem

Published on 07 Nov 2013 - 7:31

score 4k · Answer 14 · 2026-03-31 21:10:52

4k

Views

Distributional Laplacian of logarithm and the Dirac delta distribution

Published on 31 Mar 2026 - 21:10

score 309 · Answer 15 · 2013-11-08 06:55:36

309

Views

Radon measure not locally integrable

Published on 08 Nov 2013 - 6:55

List Question

For every $A\in \mathcal{L}(C^\infty(\mathbb T^n))$ exists $k_A\in C^\infty(\mathbb T^n\times \mathbb T^n)$ such that..

Integrals with Dirac delta function, $\int\delta[(x-a)(x-b)]f(x)\, dx $

Representing the dirac distribution in $H^1(\mathbb R)$ through the scalar product

Solve the following differential equaction in the sense of distribution

How to show a function is a test function?

Convergence of $\frac{1}{\sqrt{2\pi i\varepsilon}}\exp\left( -\frac{x^2}{2i\varepsilon}\right)$ as $\varepsilon \to 0$

If a Radon measure is a tempered distribution, does it integrate all Schwartz functions?

Does distributional convergence imply weak convergence

Confused by a proof in Strichartz' book on Fourier Transforms

On the composition of smooth funtions with distributions (generalized functions)

about the derivative of dirac delta distribution

Continuity condition for distributions in Rudin Functional Analysis

Distribution theory problem

Distributional Laplacian of logarithm and the Dirac delta distribution

Radon measure not locally integrable

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