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Finite measure fundamental domain for a discrete group implies it's a lattice

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#group-theory #group-actions #locally-compact-groups #homogeneous-spaces #haar-measure
74
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topological vector space over locally compact field

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#locally-compact-groups
55
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Conjugation in Hausdorff topology group

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#general-topology #topological-groups #locally-compact-groups
54
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$\Big(f\in A(G)$ & $H(x) = f(x^2) \Big){\Longrightarrow}^{?} H\in A(G)$

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#operator-algebras #harmonic-analysis #locally-compact-groups
126
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Connected locally compact abelian groups

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#category-theory #connectedness #abelian-categories #locally-compact-groups
62
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Dual group of $\mathbb{R}\setminus\lbrace 0 \rbrace$

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#analysis #abelian-groups #locally-compact-groups
57
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Subset sums in an LCA group

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#locally-compact-groups
79
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Does Pontryagin duality extend to class two nilpotent or maybe even metabelian locally compact groups?

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#reference-request #harmonic-analysis #noncommutative-algebra #locally-compact-groups #noncommutative-geometry
330
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If $\prod X_{\alpha}$ is locally compact $\Rightarrow$ each...

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#general-topology #proof-verification #locally-compact-groups
79
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Integration of representations of a locally compact group

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#representation-theory #distribution-theory #topological-vector-spaces #locally-compact-groups
32
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Local compactness and actions

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#group-actions #locally-compact-groups
69
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How to prove that if $f*\chi_A=0$ a.e. for all $A$ of finite measure then $f=0$ a.e.

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#measure-theory #locally-compact-groups #haar-measure
201
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Is the family of equivalent norms a locally compact space?

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#general-topology #analysis #locally-compact-groups
115
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Locally compact nilpotent group has an open subgroup isomorphic to $\mathbb{R}^n\times K$

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#topological-groups #locally-compact-groups #nilpotent-groups
42
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Reference request for locally compact groups proof

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#functional-analysis #reference-request #harmonic-analysis #topological-groups #locally-compact-groups

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