List questions from singular-integrals

Published on 14 Oct 2016 - 13:54

87

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Approximating integral with a pole

Published on 31 Oct 2016 - 9:05

284

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Converting a singular integral into a non-singular integral

Published on 14 Dec 2016 - 22:52

94

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Representation of Hilbert transform by a singular integral.

Published on 03 Jan 2017 - 16:33

963

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How to find the 'general integral' of a nonlinear PDE?

Published on 28 Jan 2017 - 15:04

46

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Difference betwenn rings used in calculating homologies

Published on 31 Jan 2017 - 22:01

620

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Square root of Laplace operator

Published on 02 Feb 2017 - 2:36

183

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complete elliptic integral of the 1st kind with infinitely large argument

Published on 09 Mar 2017 - 23:01

147

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Non-Integrable Function

Published on 21 Mar 2017 - 23:38

188

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Integral over unit disk of $log|z-w|^2/(z-z_1)(\bar{z}-\bar{w}_1)$

Published on 07 Apr 2017 - 11:51

59

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Is this Hardy-like operator $f \mapsto x^{-\frac{1}{2}} \int_{x}^{2x} f(y) dy$ bounded from $L^2$ to $L^2$?

Published on 19 Mar 2023 - 1:49

27

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Cancellation property of kernel in singular integral

Published on 09 May 2023 - 3:42

123

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Boundedness of Newtonian potential

Published on 13 Jun 2023 - 18:57

52

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Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Published on 14 Jul 2023 - 17:27

105

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Hilbert transform of $ \frac{x}{(1+x^2)^2} $.

Published on 17 Aug 2023 - 11:42

List Question

Singular expansion of an integral

Approximating integral with a pole

Converting a singular integral into a non-singular integral

Representation of Hilbert transform by a singular integral.

How to find the 'general integral' of a nonlinear PDE?

Difference betwenn rings used in calculating homologies

Square root of Laplace operator

complete elliptic integral of the 1st kind with infinitely large argument

Non-Integrable Function

Integral over unit disk of $log|z-w|^2/(z-z_1)(\bar{z}-\bar{w}_1)$

Is this Hardy-like operator $f \mapsto x^{-\frac{1}{2}} \int_{x}^{2x} f(y) dy$ bounded from $L^2$ to $L^2$?

Cancellation property of kernel in singular integral

Boundedness of Newtonian potential

Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Hilbert transform of $ \frac{x}{(1+x^2)^2} $.

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