List questions from distribution-theory

Published on 14 Apr 2026 - 14:46

50

Views

Find a function $f(x)$ whose derivative in the sense of distributions is the distribution $x^2+4x+\delta_2$

Published on 15 Apr 2026 - 9:05

48

Views

Inner product of two Schwartz fucntions.

Published on 14 Apr 2026 - 9:22

59

Views

Need help solving an integral involving delta function!

Published on 10 Apr 2026 - 8:30

46

Views

Uniqueness of moment generating functions determining joint distribution of two random variables

Published on 12 Apr 2026 - 1:37

129

Views

Initial data and a distributional Grönwall's inequality in the transport equation

Published on 25 Mar 2026 - 20:42

59

Views

Compute the Riesz measure of the $\log|z|$ function is the Dirac Mass at 0

Published on 15 Apr 2026 - 21:20

36

Views

The restriction distribution is zero implies that the distribution is zero (Theorem 2.2.1 Hormander)

Published on 16 Apr 2026 - 14:30

75

Views

Fourier Transform of $|t|^{-\frac{4}{3}}$

Published on 15 Apr 2026 - 0:54

74

Views

Integrals and Distributions

Published on 13 Apr 2026 - 19:09

95

Views

Distributional derivative of a function

Published on 13 Apr 2026 - 12:45

167

Views

Distributional expression for $\lim_{\epsilon\to 0^+}\frac{1}{(\epsilon-it)^n}$?

Published on 16 Apr 2026 - 5:05

28

Views

How do I take the Laplcian of a function involving complex conjugate?

Published on 09 Apr 2026 - 11:38

44

Views

What does underbar y in distribution notation mean?

Published on 13 Apr 2026 - 13:29

52

Views

Let $f$ be a continuous function on $\mathbb{R}$ such that the Fourier transform of $f$ exists almost everywhere. Is $f\in L^1 \cup L^2$.

Published on 16 Apr 2026 - 0:54

List Question

Finite order of a distribution

Find a function $f(x)$ whose derivative in the sense of distributions is the distribution $x^2+4x+\delta_2$

Inner product of two Schwartz fucntions.

Need help solving an integral involving delta function!

Uniqueness of moment generating functions determining joint distribution of two random variables

Initial data and a distributional Grönwall's inequality in the transport equation

Compute the Riesz measure of the $\log|z|$ function is the Dirac Mass at 0

The restriction distribution is zero implies that the distribution is zero (Theorem 2.2.1 Hormander)

Fourier Transform of $|t|^{-\frac{4}{3}}$

Integrals and Distributions

Distributional derivative of a function

Distributional expression for $\lim_{\epsilon\to 0^+}\frac{1}{(\epsilon-it)^n}$?

How do I take the Laplcian of a function involving complex conjugate?

What does underbar y in distribution notation mean?

Let $f$ be a continuous function on $\mathbb{R}$ such that the Fourier transform of $f$ exists almost everywhere. Is $f\in L^1 \cup L^2$.

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