List questions from distribution-theory

Published on 20 Aug 2017 - 9:01

289

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Line integral is a distribution/generalized function?

Published on 21 Aug 2017 - 15:52

390

Views

Integral of two Dirac delta

Published on 03 Apr 2026 - 6:33

407

Views

Does $F(x)=\int_0^xf(y)dy$ have a weak derivative?

Published on 28 Mar 2026 - 10:16

543

Views

If a subspace is dense in a reflexive Banach space, then "it" is dense in the dual?

Published on 24 Aug 2017 - 1:40

60

Views

Function $f(t)=\frac{t}{2\epsilon}\operatorname{rect}\left(\frac{t}{2\epsilon}\right)$ at $t=0$

Published on 24 Aug 2017 - 7:36

630

Views

Solving nonhomogenous wave equation using Fourier transform

Published on 01 Apr 2026 - 4:59

176

Views

Poincaré's Lemma in the space of tempered distributions

Published on 25 Aug 2017 - 17:31

278

Views

Laplace(-Beltrami) operator in the sense of distributions

Published on 04 Apr 2026 - 4:11

112

Views

Sequence of functions converges to $\delta_0$ in distribution

Published on 28 Aug 2017 - 21:54

102

Views

extension of certain invariant distributions

Published on 29 Aug 2017 - 13:59

2k

Views

Finding a $\text C^\infty$ function which is zero just on a given closed set

Published on 30 Aug 2017 - 16:59

150

Views

The limits of $ g_n (x):=n \chi_{[0, \frac{1}{n}]}(x)$ in weak* topology and in the sense of distributions

Published on 30 Aug 2017 - 20:36

533

Views

Relationship between periodic distributions and the periodization of a Schwartz function

Published on 02 Apr 2026 - 23:02

168

Views

How singular of $c'(x)$ when $x$ belong to Cantor Sets? Riemann–Stieltjes integral of $\int_0^{x}f(x')dc(x')$ with $c(x)$ Cantor function

Published on 06 Sep 2017 - 19:47

List Question

Relation between weak convergence and weak solution

Line integral is a distribution/generalized function?

Integral of two Dirac delta

Does $F(x)=\int_0^xf(y)dy$ have a weak derivative?

If a subspace is dense in a reflexive Banach space, then "it" is dense in the dual?

Function $f(t)=\frac{t}{2\epsilon}\operatorname{rect}\left(\frac{t}{2\epsilon}\right)$ at $t=0$

Solving nonhomogenous wave equation using Fourier transform

Poincaré's Lemma in the space of tempered distributions

Laplace(-Beltrami) operator in the sense of distributions

Sequence of functions converges to $\delta_0$ in distribution

extension of certain invariant distributions

Finding a $\text C^\infty$ function which is zero just on a given closed set

The limits of $ g_n (x):=n \chi_{[0, \frac{1}{n}]}(x)$ in weak* topology and in the sense of distributions

Relationship between periodic distributions and the periodization of a Schwartz function

How singular of $c'(x)$ when $x$ belong to Cantor Sets? Riemann–Stieltjes integral of $\int_0^{x}f(x')dc(x')$ with $c(x)$ Cantor function

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