List questions from distribution-theory

Published on 23 Dec 2020 - 0:31

286

Views

Corrections to the $\delta$ limit of the Cauchy distribution

Published on 26 Mar 2026 - 13:00

64

Views

Fermat Theorem for weak derivatives?

Published on 28 Mar 2026 - 0:26

97

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convolution and test function

Published on 11 Apr 2026 - 21:06

289

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The Heaviside Function, its Fourier transform, and its inclusion in $H^s(\mathbb{R})$ for all $s<1/2$.

Published on 11 Apr 2026 - 13:42

3.2k

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Integral representation of the Dirac Delta function

Published on 11 Apr 2026 - 13:17

28

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How to prove that $C^N_c (K) = \{{\phi\in C^N(R^N):\operatorname{supp}\phi\subset K}\}$ is a Banach space?

Published on 29 Dec 2020 - 14:03

200

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"Taylor series expansion" for delta function of complicated argument

Published on 04 Apr 2026 - 7:01

51

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Definition : The Distribution of laplacian of a function?

Published on 10 Apr 2026 - 5:52

71

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Proof of identity in the sense of distributions

Published on 08 Apr 2026 - 16:23

43

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Calculate $ \sum_{m=0}^{+\infty} \frac{(\delta(x))^{(2p+2m)}(0)}{m!}x^m $

Published on 04 Apr 2026 - 7:03

311

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Prove the derivative of the delta distribution is not a 'regular' distribution.

Published on 11 Apr 2026 - 16:50

60

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Fourier transform for tempered distribution

Published on 09 Apr 2026 - 12:29

69

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A question on the distributional derivative of $y^{-1/3}$

Published on 28 Mar 2026 - 22:28

116

Views

Why are distributions only defined on maps with compact support?

Published on 11 Apr 2026 - 2:32

List Question

How to prove that $ P(f)\ast \delta=0 $ (P is the d'Alembertian)

Corrections to the $\delta$ limit of the Cauchy distribution

Fermat Theorem for weak derivatives?

convolution and test function

The Heaviside Function, its Fourier transform, and its inclusion in $H^s(\mathbb{R})$ for all $s<1/2$.

Integral representation of the Dirac Delta function

How to prove that $C^N_c (K) = \{{\phi\in C^N(R^N):\operatorname{supp}\phi\subset K}\}$ is a Banach space?

"Taylor series expansion" for delta function of complicated argument

Definition : The Distribution of laplacian of a function?

Proof of identity in the sense of distributions

Calculate $ \sum_{m=0}^{+\infty} \frac{(\delta(x))^{(2p+2m)}(0)}{m!}x^m $

Prove the derivative of the delta distribution is not a 'regular' distribution.

Fourier transform for tempered distribution

A question on the distributional derivative of $y^{-1/3}$

Why are distributions only defined on maps with compact support?

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