List questions from haar-measure

Published on 21 Apr 2021 - 16:27

415

Views

Minimal proof of complete reducibility property for compact matrix Lie groups?

Published on 28 Apr 2021 - 23:53

36

Views

Confusion regarding notation in Alfsen's proof of Haar's existence theorem.

Published on 01 May 2021 - 20:25

388

Views

Haar measure of the orthogonal group and Lie algebra

Published on 17 May 2021 - 23:08

216

Views

Decomposition of the Delta Function on a Lie group in terms of irreps

Published on 18 May 2021 - 12:58

464

Views

Has research involving the generalization of the arithmetic mean been done for the following?

Published on 09 Jun 2021 - 15:59

323

Views

Moments of inner products for Haar random matrices

Published on 16 Jun 2021 - 16:54

101

Views

A Schwartz kernel theorem for locally compact groups?

Published on 25 Mar 2026 - 15:38

44

Views

Radon Nikodym derivative of the irrational rotation of the circle $S^1$

Published on 28 Jun 2021 - 11:08

98

Views

Algebraic tensor product $C_c(G)\otimes X$ dense in $C_c(G,X)$ w.r.t. $\|\cdot\|_1$, where $G$ is a locally compact group and $X$ a Banach space

Published on 27 Mar 2026 - 7:50

48

Views

Does convergence on compacta imply $L_{1}$-convergence?

Published on 30 Jun 2021 - 13:17

163

Views

Properties of the Haar measure and $\delta$-function

Published on 01 Jul 2021 - 13:36

38

Views

Is it true that $f = 0$ identically on $X\ $?

Published on 03 Jul 2021 - 17:13

99

Views

$f\in L^1(\mu) ~\text{and}~\forall g\in L^1(\mu)~\int gf ~ \mathrm{d}\mu=0 \implies f=0$ a.e.

Published on 25 Jul 2021 - 6:34

57

Views

Haar measure property

Published on 14 Aug 2021 - 18:06

List Question

Verifying Haar Measure

Minimal proof of complete reducibility property for compact matrix Lie groups?

Confusion regarding notation in Alfsen's proof of Haar's existence theorem.

Haar measure of the orthogonal group and Lie algebra

Decomposition of the Delta Function on a Lie group in terms of irreps

Has research involving the generalization of the arithmetic mean been done for the following?

Moments of inner products for Haar random matrices

A Schwartz kernel theorem for locally compact groups?

Radon Nikodym derivative of the irrational rotation of the circle $S^1$

Algebraic tensor product $C_c(G)\otimes X$ dense in $C_c(G,X)$ w.r.t. $\|\cdot\|_1$, where $G$ is a locally compact group and $X$ a Banach space

Does convergence on compacta imply $L_{1}$-convergence?

Properties of the Haar measure and $\delta$-function

Is it true that $f = 0$ identically on $X\ $?

$f\in L^1(\mu) ~\text{and}~\forall g\in L^1(\mu)~\int gf ~ \mathrm{d}\mu=0 \implies f=0$ a.e.

Haar measure property

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