Question

Convolution of two characteristic functions

score 44 · Answer 1 · 2026-04-02 06:36:12

44

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Convolution of two characteristic functions

Published on 02 Apr 2026 - 6:36

score 42 · Answer 2 · 2026-03-29 15:53:09

42

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Nuclear modules over a topological ring

Published on 29 Mar 2026 - 15:53

score 31 · Answer 3 · 2023-12-25 07:43:50

31

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Does inclusion of continuous function into distribution has retraction?

Published on 25 Dec 2023 - 7:43

score 52 · Answer 4 · 2026-03-26 04:16:05

52

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What is the order of a function in distribution theory?

Published on 26 Mar 2026 - 4:16

score 140 · Answer 5 · 2026-03-31 04:55:30

140

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On the derivative of Dirac delta

Published on 31 Mar 2026 - 4:55

score 180 · Answer 6 · 2023-12-26 06:53:02

180

Views

Integration by parts for distributions (generalized function)

Published on 26 Dec 2023 - 6:53

score 552 · Answer 7 · 2026-03-26 18:30:02

552

Views

How can tempered distributions be identified with functions?

Published on 26 Mar 2026 - 18:30

score 72 · Answer 8 · 2023-12-31 15:16:50

72

Views

Let $X$ be the set of all Borel probability measures on [0,1] (include those Dirac Delta distributions), is $X$ locally compact Hausdorff?

Published on 31 Dec 2023 - 15:16

score 65 · Answer 9 · 2026-03-26 18:30:07

65

Views

Schwartz kernel theorem and musical isomorphisms

Published on 26 Mar 2026 - 18:30

score 24 · Answer 10 · 2026-03-26 18:41:01

24

Views

Proving that $\rho_\varepsilon\ast U\to U$ as $\varepsilon\to 0^+$

Published on 26 Mar 2026 - 18:41

score 78 · Answer 11 · 2026-03-26 18:40:53

78

Views

Proving that $\frac{x}{x^2+\varepsilon^2}\to \mathsf{p.v.}\left(\frac1x\right)$ in $\mathscr{S}'$

Published on 26 Mar 2026 - 18:40

score 51 · Answer 12 · 2024-01-04 10:11:37

51

Views

Idea behind using mollefiers to prove properties of distributions

Published on 04 Jan 2024 - 10:11

score 52 · Answer 13 · 2026-03-26 18:30:09

52

Views

Confusion with identities in different function spaces

Published on 26 Mar 2026 - 18:30

score 91 · Answer 14 · 2026-03-25 17:44:35

91

Views

Can the inverse Fourier transform $f(x)=\mathcal{F}_{\omega}^{-1}[F(\omega)](x)$ converge when $F(\omega)=\mathcal{F}_x[f(x)](\omega)$ doesn't?

Published on 25 Mar 2026 - 17:44

score 110 · Answer 15 · 2024-01-09 17:18:37

110

Views

Sequence of polynomials $\{P_n\}$ of bounded degree such that $\int_{\mathbb{R}^d}P_n(x)\varphi(x){\rm d}x$ converges for all test functions $\varphi$

Published on 09 Jan 2024 - 17:18

List Question

Convolution of two characteristic functions

Nuclear modules over a topological ring

Does inclusion of continuous function into distribution has retraction?

What is the order of a function in distribution theory?

On the derivative of Dirac delta

Integration by parts for distributions (generalized function)

How can tempered distributions be identified with functions?

Let $X$ be the set of all Borel probability measures on [0,1] (include those Dirac Delta distributions), is $X$ locally compact Hausdorff?

Schwartz kernel theorem and musical isomorphisms

Proving that $\rho_\varepsilon\ast U\to U$ as $\varepsilon\to 0^+$

Proving that $\frac{x}{x^2+\varepsilon^2}\to \mathsf{p.v.}\left(\frac1x\right)$ in $\mathscr{S}'$

Idea behind using mollefiers to prove properties of distributions

Confusion with identities in different function spaces

Can the inverse Fourier transform $f(x)=\mathcal{F}_{\omega}^{-1}[F(\omega)](x)$ converge when $F(\omega)=\mathcal{F}_x[f(x)](\omega)$ doesn't?

Sequence of polynomials $\{P_n\}$ of bounded degree such that $\int_{\mathbb{R}^d}P_n(x)\varphi(x){\rm d}x$ converges for all test functions $\varphi$

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