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15
64
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Convergence on locally compact groups with an additional condition

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#fourier-analysis #harmonic-analysis #locally-compact-groups #fejer-kernel
55
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Statement is true for all continuous functions with compact support, then it must also be true in $L^{1}(G)$ by density?

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#general-topology #group-theory #functions #locally-compact-groups
71
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Finite-dimensional compact groups

Published on
#lie-groups #compactness #locally-compact-groups
250
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Group Convolution is Associative

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#integration #functional-analysis #harmonic-analysis #locally-compact-groups #haar-measure
181
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Is the topology on compact connected Lie groups metrizable?

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#differential-geometry #lie-groups #topological-groups #locally-compact-groups #metrizability
54
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Free topological groups and quotients

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#abstract-algebra #general-topology #topological-groups #free-groups #locally-compact-groups
646
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Discrete subgroup must be closed?

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#topological-groups #locally-compact-groups
705
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The Pontryagin dual of a compact abelian group is discrete

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#fourier-analysis #topological-groups #locally-compact-groups
102
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are upper right triangular matrices a locally compact group?

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#general-topology #matrices #topological-groups #locally-compact-groups
326
Views

How exactly is the Fourier transform the same as the Gelfand transform?

Published on
#harmonic-analysis #locally-compact-groups #gelfand-representation
113
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Linear representations of compact groups

Published on
#group-theory #representation-theory #locally-compact-groups
201
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$G$-invariant metrics on homogeneous spaces $G/H$

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#locally-compact-groups #metric-geometry #homogeneous-spaces
385
Views

The Dirac measure as a weak limit of $L^2$ functions on a LCA group.

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#measure-theory #distribution-theory #harmonic-analysis #locally-compact-groups
103
Views

Can we show $\mu(gX) = \mu(X)$ if integral is translation invariant?

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#functional-analysis #measure-theory #topological-groups #locally-compact-groups
30
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Isometrically embedding $L^1(H)$ into $L^1(G)$

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#measure-theory #harmonic-analysis #locally-compact-groups #haar-measure

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