List questions from cauchy-principal-value

Published on 16 Oct 2021 - 9:33

83

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Prove that $f(t,x)=t^{2}e^{nx^2}$ is Lipschitz with respect to the second variable

Published on 29 Oct 2021 - 19:09

171

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Residue Theorem for Gamma Function times Hurwitz Zeta function

Published on 20 Nov 2021 - 23:56

52

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Residue at infinity for different functions

Published on 01 Dec 2021 - 18:39

161

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Support for Cauchy’s principal value of $1/x$

Published on 23 Feb 2026 - 15:16

28

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Determining the principal value of $\frac{1}{\lvert\vec{x}-\vec{x}'\rvert^3}$

Published on 14 Dec 2021 - 9:20

81

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Emergence of Cauchy Principal value

Published on 14 Dec 2021 - 13:48

291

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How to find the principal value of the integral $\int_{-\infty}^{\infty}\frac{\sin(2x)}{x^{3}}dx$?

Published on 18 Dec 2021 - 13:53

80

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About Cauchy Principal Value

Published on 05 Jan 2022 - 20:48

100

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Fourier transform of $(\xi\cdot x)^{-\alpha}$ for general $\alpha$

Published on 16 Feb 2022 - 12:13

35

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Question about the majorization of the Cauchy principal value

Published on 14 Mar 2026 - 15:50

60

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Defining higher order (hypersingular) integrals in terms of derivatives of the Cauchy principal value?

Published on 23 Feb 2026 - 18:48

36

Views

Is $\int dx dy \frac{f(x) g(y)}{y-x + i0}$ defined on piecewise continous functions

Published on 22 Mar 2026 - 0:09

412

Views

What exactly do delta method estimates of moments for $1/\bar X_n$, $\bar X_n\sim\mathcal N(\mu,\sigma^2/n)$ approximate? (not as simple as you think)

Published on 25 Mar 2026 - 16:40

72

Views

Generalization of central limit theorem to sums of the form $\sum_{k=1}^n\frac{1}{X_k^m}$, $m=1,2,\dots$?

Published on 21 Mar 2026 - 23:53

List Question

Is this the idea behind Cauchy principal value?

Prove that $f(t,x)=t^{2}e^{nx^2}$ is Lipschitz with respect to the second variable

Residue Theorem for Gamma Function times Hurwitz Zeta function

Residue at infinity for different functions

Support for Cauchy’s principal value of $1/x$

Determining the principal value of $\frac{1}{\lvert\vec{x}-\vec{x}'\rvert^3}$

Emergence of Cauchy Principal value

How to find the principal value of the integral $\int_{-\infty}^{\infty}\frac{\sin(2x)}{x^{3}}dx$?

About Cauchy Principal Value

Fourier transform of $(\xi\cdot x)^{-\alpha}$ for general $\alpha$

Question about the majorization of the Cauchy principal value

Defining higher order (hypersingular) integrals in terms of derivatives of the Cauchy principal value?

Is $\int dx dy \frac{f(x) g(y)}{y-x + i0}$ defined on piecewise continous functions

What exactly do delta method estimates of moments for $1/\bar X_n$, $\bar X_n\sim\mathcal N(\mu,\sigma^2/n)$ approximate? (not as simple as you think)

Generalization of central limit theorem to sums of the form $\sum_{k=1}^n\frac{1}{X_k^m}$, $m=1,2,\dots$?

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