List questions from distribution-theory

Published on 11 Apr 2026 - 23:00

543

Views

Derivative of $\mbox{sgn}$

Published on 04 Apr 2026 - 13:40

178

Views

Fourier transform of $\ln|\mathbf{x}|$ as a tempered distribution in $\mathcal{S}'(\mathbb{R}^3)$

Published on 10 Apr 2026 - 10:51

73

Views

Characteristics of dual of $V=\{u\in H^1((0,1))\mid u(1)=0\}$

Published on 14 Apr 2021 - 8:47

36

Views

Partial derivative of a distribution as a directional limit

Published on 11 Apr 2026 - 22:08

25

Views

Can the definite integral of zero valued function be non-zero?

Published on 25 Mar 2026 - 15:11

144

Views

How can I prove that the mean of a probability distribution is a value that minimizes the variance of the distribution?

Published on 07 Apr 2026 - 3:22

204

Views

Feynman propagator as a distribution

Published on 12 Apr 2026 - 3:21

63

Views

Finding a local normal form regarding distribution rank properties

Published on 08 Apr 2026 - 5:37

91

Views

Proving Poisson's Formula for Schwartz Functions

Published on 12 Apr 2026 - 7:56

47

Views

Contradiction regarding the continuity of a distribution

Published on 11 Apr 2026 - 19:48

87

Views

How definition of wavefront set capture non smoothness in particular direction?

Published on 25 Mar 2026 - 20:41

103

Views

With $u\in L^1_\text{loc}(\mathbb{R})$ $T$-periodic, show that $u(nx)$ as a distribution converges to a constant

Published on 04 Apr 2026 - 3:55

90

Views

Proving that stochastic processes are equal using test functions.

Published on 11 Apr 2026 - 19:17

85

Views

Prove $H^k(\mathbb{R}^n) = W^{k,2}(\mathbb{R}^n)$

Published on 28 Apr 2021 - 16:34

List Question

Convergence of a test function sequence

Derivative of $\mbox{sgn}$

Fourier transform of $\ln|\mathbf{x}|$ as a tempered distribution in $\mathcal{S}'(\mathbb{R}^3)$

Characteristics of dual of $V=\{u\in H^1((0,1))\mid u(1)=0\}$

Partial derivative of a distribution as a directional limit

Can the definite integral of zero valued function be non-zero?

How can I prove that the mean of a probability distribution is a value that minimizes the variance of the distribution?

Feynman propagator as a distribution

Finding a local normal form regarding distribution rank properties

Proving Poisson's Formula for Schwartz Functions

Contradiction regarding the continuity of a distribution

How definition of wavefront set capture non smoothness in particular direction?

With $u\in L^1_\text{loc}(\mathbb{R})$ $T$-periodic, show that $u(nx)$ as a distribution converges to a constant

Proving that stochastic processes are equal using test functions.

Prove $H^k(\mathbb{R}^n) = W^{k,2}(\mathbb{R}^n)$

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