Question

$f\in L^1$ , $F_h(x) = \frac{1}{2h} \int_{-h}^h f(x-y)d\lambda(y)$ is absolutely continuous

score 57 · Answer 1 · 2019-02-02 08:31:52

57

Views

$f\in L^1$ , $F_h(x) = \frac{1}{2h} \int_{-h}^h f(x-y)d\lambda(y)$ is absolutely continuous

Published on 02 Feb 2019 - 8:31

score 394 · Answer 2 · 2019-02-08 16:27:53

394

Views

Why do we need absolute continuity of $\langle M \rangle_t(\omega)$ with repect to the Lebesgue measure?

Published on 08 Feb 2019 - 16:27

score 380 · Answer 3 · 2019-02-12 20:21:16

380

Views

Is composition of an absolutely continuous function and a $C^1$ function still absolutely continuous?

Published on 12 Feb 2019 - 20:21

score 172 · Answer 4 · 2019-02-20 10:13:58

172

Views

What are sufficient conditions for the boundedness of a Radon-Nikodym derivative of a pull back measure?

Published on 20 Feb 2019 - 10:13

score 549 · Answer 5 · 2019-03-19 16:49:03

549

Views

Absolutely continuous function not differentiable on uncountable set

Published on 19 Mar 2019 - 16:49

score 272 · Answer 6 · 2019-03-20 08:46:16

272

Views

When is a random variable $\mathit{X}:\Omega\rightarrow\mathbb{R}^n$ absolutely continuous?

Published on 20 Mar 2019 - 8:46

score 338 · Answer 7 · 2019-03-21 03:42:02

338

Views

Absolutely continuous Banach space valued function

Published on 21 Mar 2019 - 3:42

score 37 · Answer 8 · 2019-03-21 13:15:19

37

Views

Absolutely continuous measure and equality to $0$

Published on 21 Mar 2019 - 13:15

score 638 · Answer 9 · 2019-03-22 01:46:49

638

Views

Equivalence condition of Absolute Continuity

Published on 22 Mar 2019 - 1:46

score 362 · Answer 10 · 2019-03-24 05:43:55

362

Views

Epsilon-delta definition of continuity in two dimensions

Published on 24 Mar 2019 - 5:43

score 139 · Answer 11 · 2019-04-01 22:06:36

139

Views

Difference between absolutely continuous measures

Published on 01 Apr 2019 - 22:06

score 175 · Answer 12 · 2019-04-04 05:03:47

175

Views

Why finite condition is needed in absolute continuity for a function?

Published on 04 Apr 2019 - 5:03

score 261 · Answer 13 · 2019-04-05 13:22:35

261

Views

Is a Cauchy distribution absolutely continuous with respect to a Gaussian distribution?

Published on 05 Apr 2019 - 13:22

score 285 · Answer 14 · 2019-04-20 13:19:37

285

Views

Is there an invariant measure absolutely continuous wrt to the lebesgue measure for the map f

Published on 20 Apr 2019 - 13:19

score 4.2k · Answer 15 · 2019-04-21 14:39:28

4.2k

Views

Absolute continuity, implies bounded variation.

Published on 21 Apr 2019 - 14:39

List Question

$f\in L^1$ , $F_h(x) = \frac{1}{2h} \int_{-h}^h f(x-y)d\lambda(y)$ is absolutely continuous

Why do we need absolute continuity of $\langle M \rangle_t(\omega)$ with repect to the Lebesgue measure?

Is composition of an absolutely continuous function and a $C^1$ function still absolutely continuous?

What are sufficient conditions for the boundedness of a Radon-Nikodym derivative of a pull back measure?

Absolutely continuous function not differentiable on uncountable set

When is a random variable $\mathit{X}:\Omega\rightarrow\mathbb{R}^n$ absolutely continuous?

Absolutely continuous Banach space valued function

Absolutely continuous measure and equality to $0$

Equivalence condition of Absolute Continuity

Epsilon-delta definition of continuity in two dimensions

Difference between absolutely continuous measures

Why finite condition is needed in absolute continuity for a function?

Is a Cauchy distribution absolutely continuous with respect to a Gaussian distribution?

Is there an invariant measure absolutely continuous wrt to the lebesgue measure for the map f

Absolute continuity, implies bounded variation.

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