Question

Proof of uniform continuity of the convolution.

score 602 · Answer 1 · 2026-04-13 06:20:04

602

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Proof of uniform continuity of the convolution.

Published on 13 Apr 2026 - 6:20

score 2.2k · Answer 2 · 2026-04-10 01:31:39

2.2k

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Lebesgue Integral of Integrable Function on a Subset

Published on 10 Apr 2026 - 1:31

score 130 · Answer 3 · 2026-03-25 00:04:24

130

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Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Published on 25 Mar 2026 - 0:04

score 367 · Answer 4 · 2026-04-12 03:55:28

367

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Theoretical definition Markov chain

Published on 12 Apr 2026 - 3:55

score 188 · Answer 5 · 2026-04-12 02:12:40

188

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Lipschitz function with $0$ derivative a.e. is constant on connected components

Published on 12 Apr 2026 - 2:12

score 168 · Answer 6 · 2026-04-10 21:51:46

168

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Finite Overlap Covers and Integration

Published on 10 Apr 2026 - 21:51

score 467 · Answer 7 · 2026-04-09 13:15:06

467

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ergodic measure and absolutely continuous measure

Published on 09 Apr 2026 - 13:15

score 1.1k · Answer 8 · 2026-04-09 02:52:15

1.1k

Views

Uniqueness in the decomposition of a simple function in the canonical form.

Published on 09 Apr 2026 - 2:52

score 48 · Answer 9 · 2026-04-13 23:20:14

48

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Is it true that if $f\in L^p(\mu)$, then $|\int_n^{n+1} f(x)dx| \leq \int_n^{n+1} |f(x)|dx$?

Published on 13 Apr 2026 - 23:20

score 47 · Answer 10 · 2026-04-09 06:07:34

47

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Does it make sense to define strongly measurable functions on a Polish space instead of a Banch space?

Published on 09 Apr 2026 - 6:07

score 105 · Answer 11 · 2026-04-09 02:31:49

105

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How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

Published on 09 Apr 2026 - 2:31

score 26 · Answer 12 · 2018-03-24 23:03:46

26

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If $-\infty <a<b<\infty$ and $\mu$ is $1/(b-a)$ times Lebesgue measure on $[a,b]$, then $\mu([a,b])=1$

Published on 24 Mar 2018 - 23:03

score 528 · Answer 13 · 2026-03-29 20:05:40

528

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Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

Published on 29 Mar 2026 - 20:05

score 371 · Answer 14 · 2026-03-25 07:45:51

371

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Prove that if $\mu$ is purely atomic then $\mu=\sum_{i=1}^\infty p_i \delta_{x_i}$ s.t $\sum_{i=1}^\infty p_i=1$

Published on 25 Mar 2026 - 7:45

score 52 · Answer 15 · 2026-03-24 22:16:05

52

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Showing that if $B_n = A_n - A_{n+1}$ then $A_n = \bigcup_{k\geq n}B_k$ and $\sum \mu (A_n) = \sum (n+1) \mu(B_n) $

Published on 24 Mar 2026 - 22:16

List Question

Proof of uniform continuity of the convolution.

Lebesgue Integral of Integrable Function on a Subset

Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Theoretical definition Markov chain

Lipschitz function with $0$ derivative a.e. is constant on connected components

Finite Overlap Covers and Integration

ergodic measure and absolutely continuous measure

Uniqueness in the decomposition of a simple function in the canonical form.

Is it true that if $f\in L^p(\mu)$, then $|\int_n^{n+1} f(x)dx| \leq \int_n^{n+1} |f(x)|dx$?

Does it make sense to define strongly measurable functions on a Polish space instead of a Banch space?

How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

If $-\infty <a<b<\infty$ and $\mu$ is $1/(b-a)$ times Lebesgue measure on $[a,b]$, then $\mu([a,b])=1$

Showing that there exists a sequence $C_n > 0$ such that $ C_n \to ∞, $ with $(C_nf_n)_n$ converges to zero a.e

Prove that if $\mu$ is purely atomic then $\mu=\sum_{i=1}^\infty p_i \delta_{x_i}$ s.t $\sum_{i=1}^\infty p_i=1$

Showing that if $B_n = A_n - A_{n+1}$ then $A_n = \bigcup_{k\geq n}B_k$ and $\sum \mu (A_n) = \sum (n+1) \mu(B_n) $

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