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Sokhotski–Plemelj theorem for two-dimensional integrals

score 391 · Answer 1 · 2026-03-26 11:16:47

391

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Sokhotski–Plemelj theorem for two-dimensional integrals

Published on 26 Mar 2026 - 11:16

score 34 · Answer 2 · 2021-06-08 04:08:03

34

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Compute $\int dq \ q^{n} j_{\ell} \left( q r \right) j_{\ell}\left( q R \right)$

Published on 08 Jun 2021 - 4:08

score 88 · Answer 3 · 2021-06-08 08:08:36

88

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For a function $f = f(t,x)$, how is the space $C^0([0,T];(S'(\mathbb R^d))^n)$ defined?

Published on 08 Jun 2021 - 8:08

score 48 · Answer 4 · 2026-04-11 10:07:57

48

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The convolution of two distributions

Published on 11 Apr 2026 - 10:07

score 49 · Answer 5 · 2026-03-27 17:52:20

49

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Is it true that $\widehat{f(x,0)}(\xi) = \widehat{f}(\xi,0)$?

Published on 27 Mar 2026 - 17:52

score 36 · Answer 6 · 2021-06-17 16:03:58

36

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Lebesgue Integral of slowly incrasing polynomial on $\mathbb{R}^m$

Published on 17 Jun 2021 - 16:03

score 204 · Answer 7 · 2026-03-27 17:51:40

204

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Convolution between a Bounded Tempered Distribution and a $L^1$ function is a distribution.

Published on 27 Mar 2026 - 17:51

score 328 · Answer 8 · 2026-03-27 17:51:57

328

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Grafakos, Modern Fourier Analysis, Third Edition, Exercise 2.1.4. Bounded Tempered Distributions

Published on 27 Mar 2026 - 17:51

score 53 · Answer 9 · 2021-06-19 12:11:29

53

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2nd order distribution differential equation

Published on 19 Jun 2021 - 12:11

score 42 · Answer 10 · 2026-04-09 03:32:07

42

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How to integrate with linearly 'switched' Dirac delta?

Published on 09 Apr 2026 - 3:32

score 122 · Answer 11 · 2026-04-11 19:36:14

122

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Characterizing Distributions as sum of a regular distribution and $\delta^\alpha$ distributions?

Published on 11 Apr 2026 - 19:36

score 194 · Answer 12 · 2026-03-27 17:57:44

194

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If $\langle u(t), \phi \rangle \in L^1\ \forall \phi \in S(\Bbb R^d)$, does $\langle u(t), \phi(t) \rangle \in L^1\ \forall \phi \in S(\Bbb R^{1+d})$?

Published on 27 Mar 2026 - 17:57

score 142 · Answer 13 · 2026-04-11 17:31:59

142

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Identity in distributional sense, principal value $1/x$

Published on 11 Apr 2026 - 17:31

score 262 · Answer 14 · 2026-04-04 21:17:01

262

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"Matrix" multiplication of Dirac delta distributions?

Published on 04 Apr 2026 - 21:17

score 77 · Answer 15 · 2026-04-11 01:02:48

77

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Differential equation and distribution theory

Published on 11 Apr 2026 - 1:02

List Question

Sokhotski–Plemelj theorem for two-dimensional integrals

Compute $\int dq \ q^{n} j_{\ell} \left( q r \right) j_{\ell}\left( q R \right)$

For a function $f = f(t,x)$, how is the space $C^0([0,T];(S'(\mathbb R^d))^n)$ defined?

The convolution of two distributions

Is it true that $\widehat{f(x,0)}(\xi) = \widehat{f}(\xi,0)$?

Lebesgue Integral of slowly incrasing polynomial on $\mathbb{R}^m$

Convolution between a Bounded Tempered Distribution and a $L^1$ function is a distribution.

Grafakos, Modern Fourier Analysis, Third Edition, Exercise 2.1.4. Bounded Tempered Distributions

2nd order distribution differential equation

How to integrate with linearly 'switched' Dirac delta?

Characterizing Distributions as sum of a regular distribution and $\delta^\alpha$ distributions?

If $\langle u(t), \phi \rangle \in L^1\ \forall \phi \in S(\Bbb R^d)$, does $\langle u(t), \phi(t) \rangle \in L^1\ \forall \phi \in S(\Bbb R^{1+d})$?

Identity in distributional sense, principal value $1/x$

"Matrix" multiplication of Dirac delta distributions?

Differential equation and distribution theory

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