Question

$G$ be loacally compact abelian group with $G,\hat{G}$ both sigma compact. Let $f\in L^2(G)$ and $\psi_n(x)=\int_{C_n}\hat{f}(\chi)\chi(x)\ d\chi$.

score 57 · Answer 1 · 2026-03-27 17:06:03

57

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$G$ be loacally compact abelian group with $G,\hat{G}$ both sigma compact. Let $f\in L^2(G)$ and $\psi_n(x)=\int_{C_n}\hat{f}(\chi)\chi(x)\ d\chi$.

Published on 27 Mar 2026 - 17:06

score 364 · Answer 2 · 2022-06-07 09:13:27

364

Views

Prove that wedge sum of $S^2$ and $S^1$ homotopy equivalent to the union of $S^2$ and it's diameter

Published on 07 Jun 2022 - 9:13

score 268 · Answer 3 · 2022-06-08 05:31:25

268

Views

the kernel of the covering map is isomorphic to the covering transformation group of topological group

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score 94 · Answer 4 · 2026-04-02 18:47:18

94

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score 65 · Answer 5 · 2022-06-11 16:43:59

65

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score 44 · Answer 6 · 2026-03-26 09:45:44

44

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score 119 · Answer 7 · 2026-04-02 02:13:02

119

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score 70 · Answer 8 · 2022-06-13 15:14:11

70

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score 92 · Answer 9 · 2026-03-26 10:58:22

92

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score 253 · Answer 10 · 2026-03-26 21:27:25

253

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score 142 · Answer 11 · 2022-06-18 18:27:19

142

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score 109 · Answer 12 · 2026-03-30 16:33:28

109

Views

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Published on 30 Mar 2026 - 16:33

score 92 · Answer 13 · 2022-06-23 16:36:32

92

Views

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Published on 23 Jun 2022 - 16:36

score 176 · Answer 14 · 2026-03-27 17:04:56

176

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score 56 · Answer 15 · 2026-03-26 11:01:26

56

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List Question

$G$ be loacally compact abelian group with $G,\hat{G}$ both sigma compact. Let $f\in L^2(G)$ and $\psi_n(x)=\int_{C_n}\hat{f}(\chi)\chi(x)\ d\chi$.

Prove that wedge sum of $S^2$ and $S^1$ homotopy equivalent to the union of $S^2$ and it's diameter

the kernel of the covering map is isomorphic to the covering transformation group of topological group

Is the space $\mathbb{PR}^3$ homeomorphic to $\mathbb{PR}^2\times S^1$?

Pontryagin dual and unitary dual of abelian group homeomorphic?

Unitary dualization functor continuous?

Is the space of distinct triples homeomorphic to a union of products?

Group generated topologically

Is the universal $G$-bundle functorial in $G$?

Is there a simple abstract reason why a profinite group is an inverse limit of finite groups?

smooth differential forms on manifold with boundary

Obtaining $\mathscr{B}G$ from the topological groupoid $BG$; which notion of "nerve" of a topological groupoid/category should be used?

Can the topology of a group be defined in terms of the group operation?

Topological semi-direct products

The "connecting homomorphism" for the LES of iterated classifying spaces for an SES of topological Abelian groups

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