Question

Unimodularity: How are these notions related?

score 130 · Answer 1 · 2020-07-31 08:59:30

130

Views

Unimodularity: How are these notions related?

Published on 31 Jul 2020 - 8:59

score 662 · Answer 2 · 2016-08-19 00:22:12

662

Views

Disintegration of Haar measures

Published on 19 Aug 2016 - 0:22

score 101 · Answer 3 · 2016-08-22 12:46:38

101

Views

Any character $L$ of $L^1(G)$ is given by $L(\phi)=\int_G \phi(x)f(x)dx$ for some bounded function $f$

Published on 22 Aug 2016 - 12:46

score 77 · Answer 4 · 2016-08-28 18:29:10

77

Views

Is there an equivalent to $\|f \ast g\|_p \leq \|f\|_1 \|g\|_p$ on groups?

Published on 28 Aug 2016 - 18:29

score 317 · Answer 5 · 2016-09-04 14:18:59

317

Views

Generating the compact-open topology on the Pontryagin dual group.

Published on 04 Sep 2016 - 14:18

score 469 · Answer 6 · 2016-09-04 17:53:56

469

Views

The Pontryagin dual $\widehat{G}$ of a second countable locally compact Abelian group $G$ is second countable.

Published on 04 Sep 2016 - 17:53

score 116 · Answer 7 · 2016-09-24 12:46:36

116

Views

convolution of $L^1(G)$ functions as weak integral

Published on 24 Sep 2016 - 12:46

score 48 · Answer 8 · 2016-10-05 19:28:24

48

Views

Separate points in compact group action by an invariant pseudometric

Published on 05 Oct 2016 - 19:28

score 485 · Answer 9 · 2016-10-25 03:02:19

485

Views

A question about André Weil’s converse to Haar’s Theorem on the existence of Haar measures

Published on 25 Oct 2016 - 3:02

score 186 · Answer 10 · 2016-10-26 04:19:10

186

Views

Is every Baire subset of a locally compact Hausdorff topological group $ \sigma $-finite with respect to a Haar measure?

Published on 26 Oct 2016 - 4:19

score 45 · Answer 11 · 2016-11-03 05:09:09

45

Views

Why is Fourier transform on $L^1(G)$ defined as $\int f(x) \gamma(x^{-1}) dx$?

Published on 03 Nov 2016 - 5:09

score 62 · Answer 12 · 2016-11-08 06:33:36

62

Views

Is there a relationship between the Haar measure of two LC groups $G$ and $H$ and the Haar measure of their free product $G\ast H$?

Published on 08 Nov 2016 - 6:33

score 26 · Answer 13 · 2016-11-16 03:47:15

26

Views

Why is $1_{H}\in B(G_{d})$ for a subgroup $H$ of $G$?

Published on 16 Nov 2016 - 3:47

score 254 · Answer 14 · 2016-11-18 03:22:03

254

Views

Show that: - $\hat{\mathbb{Z}} \cong \mathbb{S^1}$ , $\hat{\mathbb{S^1}} \cong \mathbb{Z}$ , $\hat{\mathbb{R}} \cong \mathbb{R}$

Published on 18 Nov 2016 - 3:22

score 43 · Answer 15 · 2016-11-23 16:03:11

43

Views

Show that either $\mu(S) = 0$ or $\mu(G \setminus S) = 0$

Published on 23 Nov 2016 - 16:03

List Question

Unimodularity: How are these notions related?

Disintegration of Haar measures

Any character $L$ of $L^1(G)$ is given by $L(\phi)=\int_G \phi(x)f(x)dx$ for some bounded function $f$

Is there an equivalent to $\|f \ast g\|_p \leq \|f\|_1 \|g\|_p$ on groups?

Generating the compact-open topology on the Pontryagin dual group.

The Pontryagin dual $\widehat{G}$ of a second countable locally compact Abelian group $G$ is second countable.

convolution of $L^1(G)$ functions as weak integral

Separate points in compact group action by an invariant pseudometric

A question about André Weil’s converse to Haar’s Theorem on the existence of Haar measures

Is every Baire subset of a locally compact Hausdorff topological group $ \sigma $-finite with respect to a Haar measure?

Why is Fourier transform on $L^1(G)$ defined as $\int f(x) \gamma(x^{-1}) dx$?

Is there a relationship between the Haar measure of two LC groups $G$ and $H$ and the Haar measure of their free product $G\ast H$?

Why is $1_{H}\in B(G_{d})$ for a subgroup $H$ of $G$?

Show that: - $\hat{\mathbb{Z}} \cong \mathbb{S^1}$ , $\hat{\mathbb{S^1}} \cong \mathbb{Z}$ , $\hat{\mathbb{R}} \cong \mathbb{R}$

Show that either $\mu(S) = 0$ or $\mu(G \setminus S) = 0$

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