List questions from singular-integrals

Published on 06 May 2026 - 23:02

72

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What does the principal value $\mathscr{P}$ mean exactly in this integral?

Published on 07 May 2026 - 6:38

121

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Derivative of convolution with singular kernel

Published on 06 May 2026 - 14:05

235

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double integral with singularity (not exactly singularity)

Published on 06 May 2026 - 7:04

51

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Integrable function on positive axis.

Published on 07 May 2026 - 16:54

241

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Approximate Numerical Convolution with a Singularity in the kernel

Published on 06 May 2026 - 7:20

146

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Evaluating a complex integral with two singularities

Published on 06 May 2026 - 11:16

138

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Action of Calderon-Zygmund operator on $H^{1,\infty}$

Published on 06 May 2026 - 17:30

79

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Why is $\left| \int^{\infty}_{0} \frac{e^{is\cos \phi} - e^{-s}}{s}ds \right| < 2\log \frac{c}{|\cos \phi|}?$

Published on 10 May 2026 - 9:22

194

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Is it possible to evaulate $I = \frac{2i}{\pi} \int_\gamma \ln(z) dz$ explicitly even though $\ln(z)$ isn't holomorphic at $z=0$?

Published on 07 May 2026 - 8:48

147

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Singular bivariate distributions

Published on 25 Apr 2026 - 18:11

101

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Stationary Phase with controlled phase $|\int_0^Te^{\frac{i}{\epsilon}\phi_j(t)}dt| = O(\epsilon)$

Published on 10 May 2026 - 12:34

118

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Why is the singularity ignored?

Published on 10 May 2026 - 12:29

73

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How to evaluate $S=\int_{\partial D}{\frac{1}{|x-y|^2}}ds(y)$?

Published on 28 Apr 2026 - 12:30

125

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Formal Definition of weak, strong, and hypersingularities?

Published on 28 Apr 2026 - 9:51

List Question

definite integration of a trigonometric function with branch cut

What does the principal value $\mathscr{P}$ mean exactly in this integral?

Derivative of convolution with singular kernel

double integral with singularity (not exactly singularity)

Integrable function on positive axis.

Approximate Numerical Convolution with a Singularity in the kernel

Evaluating a complex integral with two singularities

Action of Calderon-Zygmund operator on $H^{1,\infty}$

Why is $\left| \int^{\infty}_{0} \frac{e^{is\cos \phi} - e^{-s}}{s}ds \right| < 2\log \frac{c}{|\cos \phi|}?$

Is it possible to evaulate $I = \frac{2i}{\pi} \int_\gamma \ln(z) dz$ explicitly even though $\ln(z)$ isn't holomorphic at $z=0$?

Singular bivariate distributions

Stationary Phase with controlled phase $|\int_0^Te^{\frac{i}{\epsilon}\phi_j(t)}dt| = O(\epsilon)$

Why is the singularity ignored?

How to evaluate $S=\int_{\partial D}{\frac{1}{|x-y|^2}}ds(y)$?

Formal Definition of weak, strong, and hypersingularities?

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