List questions from distribution-theory

Published on 22 Apr 2022 - 11:18

20

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Solutions $\lambda$ of $\displaystyle 1-\lambda \mathcal{F}(e^{-ix})(\xi)=0$

Published on 13 Apr 2026 - 13:55

35

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Fourier Transform of $(2H(x)-1)\cdot\delta(2H(x)-2)$

Published on 13 Apr 2026 - 20:18

157

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Prove that $f$ is a linear combination of $\delta^{(k)}$ for $k=0, 1\ldots, n-1$.

Published on 14 Apr 2026 - 1:23

143

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Derivative of P.V. $(\frac{1}{x})$ in the distribution sense

Published on 13 Apr 2026 - 7:42

77

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Fourier transform of $e^{-x} H(x)$

Published on 09 Apr 2026 - 0:02

143

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How does the divergent sum $\sum_{n=1}^\infty\cos(2n\gamma)\sin(2nt)$ correctly evaluate an integral? Surely distributions don’t apply here

Published on 12 Apr 2026 - 16:24

248

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Circumference of a circle using integral representation of Dirac delta

Published on 11 Apr 2026 - 21:52

84

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Fourier transform of $\frac{(x-iw)^\alpha}{(x+iw)^\alpha}$

Published on 28 Apr 2022 - 3:32

149

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Prove that $1/(1+|x|^2)^n$ is integrable and find its value

Published on 28 Mar 2026 - 2:23

366

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Solving Backward Heat Equation with a Backward Heat Kernel?

Published on 11 Apr 2026 - 16:27

86

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Fourier analysis with Lipschitz condition

Published on 10 Apr 2026 - 23:22

23

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Covariance of two additions of random variables

Published on 14 Apr 2026 - 5:04

102

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In what sense are usual probability distributions like normal, binomial, etc distributions in the formal definition?

Published on 01 May 2022 - 5:10

30

Views

Question about this definition of support of a distribution

Published on 09 Apr 2026 - 6:48

List Question

Space of test functions $\mathcal{D}$

Solutions $\lambda$ of $\displaystyle 1-\lambda \mathcal{F}(e^{-ix})(\xi)=0$

Fourier Transform of $(2H(x)-1)\cdot\delta(2H(x)-2)$

Prove that $f$ is a linear combination of $\delta^{(k)}$ for $k=0, 1\ldots, n-1$.

Derivative of P.V. $(\frac{1}{x})$ in the distribution sense

Fourier transform of $e^{-x} H(x)$

How does the divergent sum $\sum_{n=1}^\infty\cos(2n\gamma)\sin(2nt)$ correctly evaluate an integral? Surely distributions don’t apply here

Circumference of a circle using integral representation of Dirac delta

Fourier transform of $\frac{(x-iw)^\alpha}{(x+iw)^\alpha}$

Prove that $1/(1+|x|^2)^n$ is integrable and find its value

Solving Backward Heat Equation with a Backward Heat Kernel?

Fourier analysis with Lipschitz condition

Covariance of two additions of random variables

In what sense are usual probability distributions like normal, binomial, etc distributions in the formal definition?

Question about this definition of support of a distribution

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