Question

Space of measurable function

score 46 · Answer 1 · 2026-04-14 04:22:31

46

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Space of measurable function

Published on 14 Apr 2026 - 4:22

score 1.1k · Answer 2 · 2026-04-14 13:22:59

1.1k

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Subsets of a set generating a sigma algebra

Published on 14 Apr 2026 - 13:22

score 66 · Answer 3 · 2026-04-13 12:28:29

66

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Convergence in distribution with a convergent sequence of reals

Published on 13 Apr 2026 - 12:28

score 64 · Answer 4 · 2026-04-15 18:29:42

64

Views

Does $f_{n}(x)=\frac{1}{\sqrt{2\pi n}} e^{-\frac{x^2}{2\pi n}}$ converge a.s. and/or in measure

Published on 15 Apr 2026 - 18:29

score 66 · Answer 5 · 2026-04-17 02:04:48

66

Views

Let $f\in L^1(\mathbb{R},\mathcal{R},\lambda)$. If $\int_a^b f(x)dx=0$ whenever $b>a$, then $f=0$ a.e.

Published on 17 Apr 2026 - 2:04

score 178 · Answer 6 · 2026-04-10 19:36:12

178

Views

Confusion between dual of continuous functions and borel functions

Published on 10 Apr 2026 - 19:36

score 248 · Answer 7 · 2026-04-12 00:37:23

248

Views

If $f$ is absolutely continuous, there is a decomposition $f = g - h$ with $g$ and $h$ absolutely continuous inscreasing functions

Published on 12 Apr 2026 - 0:37

score 348 · Answer 8 · 2026-04-09 14:08:36

348

Views

Lebesgue integral over a discontinuous function?

Published on 09 Apr 2026 - 14:08

score 34 · Answer 9 · 2026-04-13 14:33:45

34

Views

The convergence of a r.v. moment of order r, about a and its central moments

Published on 13 Apr 2026 - 14:33

score 162 · Answer 10 · 2026-04-11 09:17:16

162

Views

Why is it difficult to define integral although it's easy to define differentiation?

Published on 11 Apr 2026 - 9:17

score 132 · Answer 11 · 2026-04-12 01:46:50

132

Views

Almost all non-negative real numbers have only finitely many multiple lies in a measurable set with finite measure

Published on 12 Apr 2026 - 1:46

score 40 · Answer 12 · 2026-03-25 14:20:11

40

Views

Stieltjes integral of proportion function

Published on 25 Mar 2026 - 14:20

score 489 · Answer 13 · 2026-04-25 11:43:20

489

Views

Singular continuous measures "in nature"

Published on 25 Apr 2026 - 11:43

score 63 · Answer 14 · 2026-04-10 05:49:59

63

Views

Counterexample to an application of Dominated Convergence Theorem

Published on 10 Apr 2026 - 5:49

score 261 · Answer 15 · 2026-04-09 17:34:15

261

Views

Proving a Lebesgue Integral inequality for a measurable function

Published on 09 Apr 2026 - 17:34

List Question

Space of measurable function

Subsets of a set generating a sigma algebra

Convergence in distribution with a convergent sequence of reals

Does $f_{n}(x)=\frac{1}{\sqrt{2\pi n}} e^{-\frac{x^2}{2\pi n}}$ converge a.s. and/or in measure

Let $f\in L^1(\mathbb{R},\mathcal{R},\lambda)$. If $\int_a^b f(x)dx=0$ whenever $b>a$, then $f=0$ a.e.

Confusion between dual of continuous functions and borel functions

If $f$ is absolutely continuous, there is a decomposition $f = g - h$ with $g$ and $h$ absolutely continuous inscreasing functions

Lebesgue integral over a discontinuous function?

The convergence of a r.v. moment of order r, about a and its central moments

Why is it difficult to define integral although it's easy to define differentiation?

Almost all non-negative real numbers have only finitely many multiple lies in a measurable set with finite measure

Stieltjes integral of proportion function

Singular continuous measures "in nature"

Counterexample to an application of Dominated Convergence Theorem

Proving a Lebesgue Integral inequality for a measurable function

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