harmonicanalysis : Message: question

Dear All
please help me with the proof of this point.
the group $G$ is discrete if the Haar measure $\mu$ is discrete.
In the proof of this point the writer has said if $G$ is not
discrete then it contains a compact set that is infinite. Is
there any one who can help me with the above line.
$G$ is also a locally compact Haussdorff space.
Thanks
Fatima

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Dear members Thanks for your reply to my questions Here there are some questions Let G is a locally compact abelian group and � is duel group In book...

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Oct 1, 2008
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Oct 13, 2008
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Oct 14, 2008
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Dear members Thanks for your reply to my questions Here there are some questions Let G is a locally compact abelian group and G^character group of G if G^...

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Oct 14, 2008
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I would think of the following argument: G is compact if and only if G^ is discrete (with its natural topology). If a group is countable it cannot be...

Hans G. Feichtinger
hans.feichtinger@...

Oct 14, 2008
2:32 pm

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Oct 15, 2008
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I suppose that it is clear from the definition of the quotient space E/M and the module action of A on E/M. Notice that A acts on E and this action is...

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meet_shravan

Oct 17, 2008
5:07 am

Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...

fatima22_m

Apr 30, 2009
2:52 pm

Dear All please help me with the proof of this point. the group $G$ is discrete if the Haar measure $\mu$ is discrete. In the proof of this point the writer...

fatima22_m

Apr 30, 2009
2:52 pm

If you have a locally compact Hausdorff space, then every point has a local basis of compact neighbourhoods. I.e. for any point there is a compact set which...

Maria Roginskaya
mariar239

Apr 30, 2009
7:59 pm

Dear All Thanks a lot Maria Roginskala. please help me with the following questions : 1-As I know when $G$ is a compact group then the Haar measure $\mu$ ...

fatima22_m

May 1, 2009
4:38 pm

Dear Fatima 1. Unless the haar measure is bounded it will not belong to M(G). 2. Ofcourse, one can conclude that the haar measure is not discrete. This...

shravan kumar
meet_shravan

May 4, 2009
3:22 pm

Dear Members can any one help me about some qusetions from these lemma. we fisrt have some assumptions: Asuumptions: Let $\mu$ be a finite positive regular...

fatima22_m

Aug 16, 2009
3:21 pm

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