Question

Citation for generalized poisson summation formula

score 74 · Answer 1 · 2026-02-23 06:55:01

74

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Citation for generalized poisson summation formula

Published on 23 Feb 2026 - 6:55

score 301 · Answer 2 · 2026-02-24 11:39:05

301

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$G$ acts transitively on a space $X$. If a function on $X$ is $G$-invariant up to measure zero, is it necessarily a constant (up to measure zero)?

Published on 24 Feb 2026 - 11:39

score 28 · Answer 3 · 2022-03-16 16:17:12

28

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Does $(x,y)\mapsto \phi_x(y)$ vanish outside some compact set in $G\times H$?

Published on 16 Mar 2022 - 16:17

score 29 · Answer 4 · 2026-02-23 06:41:01

29

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Let $G=SO(3)$ and $\theta:G\to G$ defined by $\theta(g)=JgJ$ where $J=\text{diag}(-1,1,1)$. Prove that, $\theta(g)\in Kg^{-1}K$ where $K=SO(2)$

Published on 23 Feb 2026 - 6:41

score 76 · Answer 5 · 2022-04-06 15:51:53

76

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Inner regular Haar measure

Published on 06 Apr 2022 - 15:51

score 27 · Answer 6 · 2022-04-09 04:55:50

27

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Injectivity of divisible locally compact abelian groups

Published on 09 Apr 2022 - 4:55

score 64 · Answer 7 · 2022-04-14 11:15:55

64

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Extending representations from a closed Lie subgroup - solution verification

Published on 14 Apr 2022 - 11:15

score 52 · Answer 8 · 2022-04-16 23:08:17

52

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Extension of a continuous and equivariant map to compactification

Published on 16 Apr 2022 - 23:08

score 106 · Answer 9 · 2022-05-01 14:29:22

106

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Why is $\phi_\mu(x)= \int_{\widehat{G}} \xi(x)d\mu(\xi)$ a continuous map?

Published on 01 May 2022 - 14:29

score 78 · Answer 10 · 2022-05-01 14:37:33

78

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Can a complex Radon measure be approximated by compactly supported Radon measures?

Published on 01 May 2022 - 14:37

score 20 · Answer 11 · 2022-05-05 20:51:18

20

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Let $G$ be locally compact abelian, $T_2$ and $f\in L^1(G)$. Define $\mu(A)=\int_A f(x)\ dx$. Prove $\lVert \mu\rVert=\lVert f\rVert_1$

Published on 05 May 2022 - 20:51

score 87 · Answer 12 · 2026-02-23 04:36:13

87

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Exercise 10 in section 11, chapter V, Conway's functional analysis.

Published on 23 Feb 2026 - 4:36

score 136 · Answer 13 · 2022-05-20 16:31:12

136

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When does Inverse Fourier transform look close to a positive definite function?

Published on 20 May 2022 - 16:31

score 53 · Answer 14 · 2022-05-27 22:32:07

53

Views

Existence of a certain type of function on locally compact groups

Published on 27 May 2022 - 22:32

score 108 · Answer 15 · 2022-05-31 21:19:53

108

Views

Is the Haar measure of the boundary of an open subset of the $k$-torus zero?

Published on 31 May 2022 - 21:19

List Question

Citation for generalized poisson summation formula

$G$ acts transitively on a space $X$. If a function on $X$ is $G$-invariant up to measure zero, is it necessarily a constant (up to measure zero)?

Does $(x,y)\mapsto \phi_x(y)$ vanish outside some compact set in $G\times H$?

Let $G=SO(3)$ and $\theta:G\to G$ defined by $\theta(g)=JgJ$ where $J=\text{diag}(-1,1,1)$. Prove that, $\theta(g)\in Kg^{-1}K$ where $K=SO(2)$

Inner regular Haar measure

Injectivity of divisible locally compact abelian groups

Extending representations from a closed Lie subgroup - solution verification

Extension of a continuous and equivariant map to compactification

Why is $\phi_\mu(x)= \int_{\widehat{G}} \xi(x)d\mu(\xi)$ a continuous map?

Can a complex Radon measure be approximated by compactly supported Radon measures?

Let $G$ be locally compact abelian, $T_2$ and $f\in L^1(G)$. Define $\mu(A)=\int_A f(x)\ dx$. Prove $\lVert \mu\rVert=\lVert f\rVert_1$

Exercise 10 in section 11, chapter V, Conway's functional analysis.

When does Inverse Fourier transform look close to a positive definite function?

Existence of a certain type of function on locally compact groups

Is the Haar measure of the boundary of an open subset of the $k$-torus zero?

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