Question

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

score 539 · Answer 1 · 2019-07-30 15:10:29

539

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Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

Published on 30 Jul 2019 - 15:10

score 289 · Answer 2 · 2019-08-27 22:22:14

289

Views

What is this singular distribution $T(\phi)(x) = \int_{\mathbb{R}^n} \frac{\phi(y)}{|x-y|^n} \mathrm{d}y$?

Published on 27 Aug 2019 - 22:22

score 49 · Answer 3 · 2019-09-23 15:54:22

49

Views

Reference request Singular Integrals

Published on 23 Sep 2019 - 15:54

score 729 · Answer 4 · 2014-03-17 16:23:20

729

Views

Integral involving convolution with Poisson kernel.

Published on 17 Mar 2014 - 16:23

score 106 · Answer 5 · 2014-03-26 14:52:55

106

Views

Is the function $\frac{1}{\sqrt{|x_1|}}$integrable on the unit sphere $S^{n-1}\subset\mathbb{R}^n$?

Published on 26 Mar 2014 - 14:52

score 80 · Answer 6 · 2014-05-07 20:31:27

80

Views

How to make sense of the Fourier transform of this distribution

Published on 07 May 2014 - 20:31

score 73 · Answer 7 · 2014-05-09 15:33:44

73

Views

Question about the principal value of some integral

Published on 09 May 2014 - 15:33

score 111 · Answer 8 · 2014-05-20 17:38:06

111

Views

exact or numerical value of an improper integral

Published on 20 May 2014 - 17:38

score 69 · Answer 9 · 2014-06-08 03:32:47

69

Views

Is this function square-integrable? Able to be Fourier expanded?

Published on 08 Jun 2014 - 3:32

score 232 · Answer 10 · 2014-06-17 05:03:02

232

Views

Cauchy singular integral operator

Published on 17 Jun 2014 - 5:03

score 212 · Answer 11 · 2014-06-23 21:32:52

212

Views

Numerically integrate an improper integral involving product of two bessel functions and a singularity

Published on 23 Jun 2014 - 21:32

score 79 · Answer 12 · 2014-06-25 15:05:26

79

Views

Asymptotic behavior of oscillatory Hilbert transform

Published on 25 Jun 2014 - 15:05

score 737 · Answer 13 · 2014-07-22 15:53:38

737

Views

norm of a singular integral operator

Published on 22 Jul 2014 - 15:53

score 421 · Answer 14 · 2014-09-30 15:21:03

421

Views

integration concerning Fourier transform of homogeneous kernel(of degree 0)

Published on 30 Sep 2014 - 15:21

score 71 · Answer 15 · 2019-11-14 15:27:08

71

Views

Expression for integral of $\omega * \hat f (\omega)$, where $\hat f$ is the (one-sided) cosine transform of f

Published on 14 Nov 2019 - 15:27

List Question

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

What is this singular distribution $T(\phi)(x) = \int_{\mathbb{R}^n} \frac{\phi(y)}{|x-y|^n} \mathrm{d}y$?

Reference request Singular Integrals

Integral involving convolution with Poisson kernel.

Is the function $\frac{1}{\sqrt{|x_1|}}$integrable on the unit sphere $S^{n-1}\subset\mathbb{R}^n$?

How to make sense of the Fourier transform of this distribution

Question about the principal value of some integral

exact or numerical value of an improper integral

Is this function square-integrable? Able to be Fourier expanded?

Cauchy singular integral operator

Numerically integrate an improper integral involving product of two bessel functions and a singularity

Asymptotic behavior of oscillatory Hilbert transform

norm of a singular integral operator

integration concerning Fourier transform of homogeneous kernel(of degree 0)

Expression for integral of $\omega * \hat f (\omega)$, where $\hat f$ is the (one-sided) cosine transform of f

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