List questions from distribution-theory

Published on 26 Mar 2026 - 16:05

89

Views

For which $H^s$ does $V\in H^1$ imply that the multiplication map $u\mapsto Vu$ from $H^1 \to H^1$ is continuous

Published on 02 Apr 2017 - 4:20

273

Views

Translational Invariance of Distributions

Published on 28 Mar 2026 - 2:32

321

Views

Proving Fourier transform properties using distributions

Published on 03 Apr 2017 - 9:24

3k

Views

weak derivative and almost everywhere derivation

Published on 26 Mar 2026 - 17:43

96

Views

Understanding Test functions

Published on 04 Apr 2017 - 11:39

160

Views

Sturm-Liouville theory.

Published on 28 Mar 2026 - 14:55

629

Views

Distributional derivative of $\frac{e^{i|x|}}{|x|}$

Published on 04 Apr 2017 - 20:21

668

Views

Why is a Harmonic distribution a function?

Published on 05 Apr 2017 - 21:22

66

Views

Proof that $\langle T,\varphi \rangle = \sum_{k=0}^\infty \varphi^{(k)} (\sqrt 2)$ is not a distribution.

Published on 06 Apr 2017 - 15:48

2.1k

Views

Is $H(x − ct)$ a weak solution of the wave equation?

Published on 29 Mar 2026 - 22:28

1.7k

Views

Why is the square of Dirac delta function not a distribution?

Published on 29 Mar 2026 - 22:28

208

Views

Differentiating function times indicator function

Published on 30 Mar 2026 - 0:14

32

Views

Is the product of a continuously differentiable function with a test function also a test function?

Published on 29 Jan 2023 - 17:11

31

Views

Discrete analogues of known spaces, their relations and properties.

Published on 30 Jan 2023 - 9:10

List Question

How do I show that a distribution is locally p-integrable?

For which $H^s$ does $V\in H^1$ imply that the multiplication map $u\mapsto Vu$ from $H^1 \to H^1$ is continuous

Translational Invariance of Distributions

Proving Fourier transform properties using distributions

weak derivative and almost everywhere derivation

Understanding Test functions

Sturm-Liouville theory.

Distributional derivative of $\frac{e^{i|x|}}{|x|}$

Why is a Harmonic distribution a function?

Proof that $\langle T,\varphi \rangle = \sum_{k=0}^\infty \varphi^{(k)} (\sqrt 2)$ is not a distribution.

Is $H(x − ct)$ a weak solution of the wave equation?

Why is the square of Dirac delta function not a distribution?

Differentiating function times indicator function

Is the product of a continuously differentiable function with a test function also a test function?

Discrete analogues of known spaces, their relations and properties.

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