List questions from distribution-theory

Published on 05 Apr 2022 - 17:03

282

Views

Show that exp is not a tempered distribution

Published on 13 Apr 2026 - 10:59

236

Views

Convolution of distributions is commutative

Published on 14 Apr 2026 - 6:59

77

Views

Does a distribution with the moments $E[X^k]=1_{k=2l} l!$ exists?

Published on 13 Apr 2026 - 0:07

25

Views

Local convexity of a certain function defined via Radon transforms

Published on 12 Apr 2026 - 18:13

123

Views

Help understanding a step in proving that $\Delta 1/|x| = \delta(x)$, in $\mathcal{D}'(\mathbb{R}^3)$.

Published on 12 Apr 2026 - 11:13

22

Views

Help clarifying some notation related to the convolution of two distributions.

Published on 13 Apr 2026 - 0:03

58

Views

Fourier transforms of multidimensional "delta subspace" distributions

Published on 11 Apr 2026 - 13:01

435

Views

Solving Transport Equation with Velocity Switch using Tempered Distributions

Published on 12 Apr 2026 - 11:18

135

Views

Lipschitz Condition for Generalized Function

Published on 11 Apr 2026 - 18:03

84

Views

Limit involving Heaviside step function

Published on 10 Apr 2026 - 18:29

25

Views

$f\in\mathcal{S}'^n$, if $D^\alpha f\in L^2$, prove $\xi^\alpha\hat f(\xi)\in L^2$

Published on 17 Apr 2022 - 7:49

59

Views

Find distribution $f(t)$ given integral equation $\int_0 ^\infty e^{-u} f(t-u) du = H(t)$

Published on 17 Apr 2022 - 15:06

100

Views

Integral equation $f_i(x) = \sum_j (u_{ij} \ast f_j)(x)$, where $u_{ij}$ are tempered distributions, using FT

Published on 19 Apr 2022 - 7:02

144

Views

Heat equation with time-varying Neumann condition

Published on 09 Apr 2026 - 12:34

List Question

Joint distribution of $(X_1,X_1 + X_2)$

Show that exp is not a tempered distribution

Convolution of distributions is commutative

Does a distribution with the moments $E[X^k]=1_{k=2l} l!$ exists?

Local convexity of a certain function defined via Radon transforms

Help understanding a step in proving that $\Delta 1/|x| = \delta(x)$, in $\mathcal{D}'(\mathbb{R}^3)$.

Help clarifying some notation related to the convolution of two distributions.

Fourier transforms of multidimensional "delta subspace" distributions

Solving Transport Equation with Velocity Switch using Tempered Distributions

Lipschitz Condition for Generalized Function

Limit involving Heaviside step function

$f\in\mathcal{S}'^n$, if $D^\alpha f\in L^2$, prove $\xi^\alpha\hat f(\xi)\in L^2$

Find distribution $f(t)$ given integral equation $\int_0 ^\infty e^{-u} f(t-u) du = H(t)$

Integral equation $f_i(x) = \sum_j (u_{ij} \ast f_j)(x)$, where $u_{ij}$ are tempered distributions, using FT

Heat equation with time-varying Neumann condition

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