Question

Linear operator on $L^p [0,1]$

score 66 · Answer 1 · 2026-04-09 10:03:01

66

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Linear operator on $L^p [0,1]$

Published on 09 Apr 2026 - 10:03

score 77 · Answer 2 · 2026-04-15 08:30:56

77

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Finding a sequence of Borel measurable functions whose limit exist but Lebesgue integrals differ

Published on 15 Apr 2026 - 8:30

score 78 · Answer 3 · 2026-04-17 15:01:34

78

Views

Weak convergence of $\frac{1}{n} \sum_{i = 1}^{n} \delta_{2 \cos(2 \pi k / n)}$ to $\frac{1}{\pi \sqrt{4 - x^2}} {\large\chi}_{|x|\leq 2} dx,$

Published on 17 Apr 2026 - 15:01

score 51 · Answer 4 · 2026-04-12 12:43:51

51

Views

Finding a density for a LS-measure

Published on 12 Apr 2026 - 12:43

score 15 · Answer 5 · 2026-04-16 05:50:41

15

Views

$\frac{d\mu_G}{d\mu_F}$ for $G=F^2$

Published on 16 Apr 2026 - 5:50

score 292 · Answer 6 · 2026-04-17 00:35:32

292

Views

Proving Uniform Continuity of Fourier transform (Related to measure theory)

Published on 17 Apr 2026 - 0:35

score 155 · Answer 7 · 2026-04-13 10:33:35

155

Views

Uniqueness of the Haar measure.

Published on 13 Apr 2026 - 10:33

score 148 · Answer 8 · 2026-04-21 20:19:07

148

Views

Is this a Borel Measurable set in $[0,1)^2$?

Published on 21 Apr 2026 - 20:19

score 137 · Answer 9 · 2026-04-16 04:14:46

137

Views

Show that the diagonal in $[0,1]\times [0,1$ is in $\mathcal B_\{[0,1]\}\times\mathcal B_{[0,1]}$

Published on 16 Apr 2026 - 4:14

score 150 · Answer 10 · 2026-04-14 01:37:51

150

Views

formula for the integral of characteristic functions of measurable sets

Published on 14 Apr 2026 - 1:37

score 60 · Answer 11 · 2026-04-15 20:52:21

60

Views

Show that $\int_0^\infty \frac{\sin(xt)}{e^t-1}dt = \sum_{n=1}^\infty \frac{x}{n^2+x^2}$

Published on 15 Apr 2026 - 20:52

score 900 · Answer 12 · 2026-04-15 03:41:46

900

Views

Real Analysis, Folland Excercise 2.40

Published on 15 Apr 2026 - 3:41

score 46 · Answer 13 · 2026-04-16 02:59:42

46

Views

Let $\mu$ be a probability measure on $\mathcal{B}(\mathbb{R}^d)$. Find $\int \mu(I_x)dx$

Published on 16 Apr 2026 - 2:59

score 90 · Answer 14 · 2026-04-13 20:45:04

90

Views

Does finite intersection and union commute for sigma-fields?

Published on 13 Apr 2026 - 20:45

score 644 · Answer 15 · 2026-04-13 17:34:47

644

Views

$L^1$ norm submultiplicative?

Published on 13 Apr 2026 - 17:34

List Question

Linear operator on $L^p [0,1]$

Finding a sequence of Borel measurable functions whose limit exist but Lebesgue integrals differ

Weak convergence of $\frac{1}{n} \sum_{i = 1}^{n} \delta_{2 \cos(2 \pi k / n)}$ to $\frac{1}{\pi \sqrt{4 - x^2}} {\large\chi}_{|x|\leq 2} dx,$

Finding a density for a LS-measure

$\frac{d\mu_G}{d\mu_F}$ for $G=F^2$

Proving Uniform Continuity of Fourier transform (Related to measure theory)

Uniqueness of the Haar measure.

Is this a Borel Measurable set in $[0,1)^2$?

Show that the diagonal in $[0,1]\times [0,1$ is in $\mathcal B_\{[0,1]\}\times\mathcal B_{[0,1]}$

formula for the integral of characteristic functions of measurable sets

Show that $\int_0^\infty \frac{\sin(xt)}{e^t-1}dt = \sum_{n=1}^\infty \frac{x}{n^2+x^2}$

Real Analysis, Folland Excercise 2.40

Let $\mu$ be a probability measure on $\mathcal{B}(\mathbb{R}^d)$. Find $\int \mu(I_x)dx$

Does finite intersection and union commute for sigma-fields?

$L^1$ norm submultiplicative?

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