List questions from distribution-theory

Published on 25 Mar 2026 - 6:28

452

Views

Sum of two arbitrary functions is a weak solution to the 1-d wave equation

Published on 25 Mar 2026 - 3:01

55

Views

Prove that $\frac{d}{d x}\log(x+io)=\text{vp}\frac{1}{x}-i\pi \delta(x)$ in the sense of distribution

Published on 20 May 2018 - 14:56

139

Views

Convergence in distribution (generalized functions)

Published on 25 Mar 2026 - 6:26

721

Views

A distribution as a linear combination of Dirac delta and its derivatives

Published on 23 May 2018 - 14:35

316

Views

Distributional limit of a sequence of Dirac delta

Published on 25 Mar 2026 - 6:28

187

Views

Inner product of a convolution with a test function

Published on 27 May 2018 - 21:40

53

Views

Fourier transform of $\phi(x) = \sinh (x) \delta[(x-\log2)\sinh(x)]$ and $\phi(x)=\dfrac{d}{dx}[xH(x-1)]$

Published on 28 May 2018 - 15:54

137

Views

1-form on a differentiable manifold

Published on 22 Mar 2026 - 19:32

560

Views

If $f(x) = e^{-|x|}$, show that $f''(x) - f(x) = -2\delta(x)$ (in the sense of distributions)

Published on 25 Mar 2026 - 6:30

268

Views

Abuse of notation with distributions

Published on 01 Jun 2018 - 8:39

53

Views

Determining smooth domain for self-convolution of distribution.

Published on 19 Mar 2026 - 20:52

100

Views

Distribution Dirac-delta example

Published on 02 Jun 2018 - 20:42

109

Views

Measures uniquely determined by their restriction to $ C_0^\infty $

Published on 04 Jun 2018 - 11:55

29

Views

Solution Uniqueness of a Nonlinear Degenerate Problem

Published on 25 Mar 2026 - 6:10

List Question

Integration of Dirac delta over finite interval

Sum of two arbitrary functions is a weak solution to the 1-d wave equation

Prove that $\frac{d}{d x}\log(x+io)=\text{vp}\frac{1}{x}-i\pi \delta(x)$ in the sense of distribution

Convergence in distribution (generalized functions)

A distribution as a linear combination of Dirac delta and its derivatives

Distributional limit of a sequence of Dirac delta

Inner product of a convolution with a test function

Fourier transform of $\phi(x) = \sinh (x) \delta[(x-\log2)\sinh(x)]$ and $\phi(x)=\dfrac{d}{dx}[xH(x-1)]$

1-form on a differentiable manifold

If $f(x) = e^{-|x|}$, show that $f''(x) - f(x) = -2\delta(x)$ (in the sense of distributions)

Abuse of notation with distributions

Determining smooth domain for self-convolution of distribution.

Distribution Dirac-delta example

Measures uniquely determined by their restriction to $ C_0^\infty $

Solution Uniqueness of a Nonlinear Degenerate Problem

Trending Questions

Popular # Hahtags

Popular Questions