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Reply | Forward Message #431 of 458 |
Re: [harmonic] question

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 follows because of the fact that Haar measure is translation invariant.
 
Bye
Shravan
--- On Fri, 1/5/09, fatima22_m <fatima22_m@...> wrote:

From: fatima22_m <fatima22_m@...>
Subject: [harmonic] question
To: harmonicanalysis@yahoogroups.com
Date: Friday, 1 May, 2009, 11:27 AM

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 $\mu$
does belong to $M(G)$. Is it true when $G$ is a locally comapct abelian
group?
2-Let $G$ is a locally compact abelian group.. if we prove that Haar
measure $\mu$ that is restircted to a relatively compact open subset
of $G$ , say $U$ , is not discrete , can we conclude that $\mu$ is not
discrete for the group $G$?
I wish to hear from whom can give his or her comments very soon.
Best Regards
Fatima


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Mon May 4, 2009 4:37 am

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Forward 		Message #431 of 458 |
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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 à is duel group In book... 		fatima22_m
Offline Send Email 		Oct 1, 2008
4:13 pm

Generally in representation theory it is in practice to consider the unitary representations of a locally compact group. For example look into the book on...
shravan kumar
meet_shravan
Offline Send Email 		Oct 3, 2008
5:58 am

Dear members please help me with the proof of this theorem Let S be a semigroup such that $l^(s)$ is amenable. then $|E(S)|^(1/2)\leq AM(l^(s))$ if the...
raziye1361
Offline Send Email 		Oct 13, 2008
2:59 pm

Can you please state the theorem clearly!... ... From: raziye1361 <raziye1361@...> Subject: [harmonic] question To: harmonicanalysis@yahoogroups.com ...
shravan kumar
meet_shravan
Offline Send Email 		Oct 14, 2008
7:21 am

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^...
ghorbani_aylin
Offline Send Email 		Oct 14, 2008
8:15 am

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@...
Send Email 		Oct 14, 2008
2:32 pm

If I remember right, the contents of my previous mail regarding the relation between L1(G) and the character group G^ tells this for a locally compact abelian...
shravan kumar
meet_shravan
Offline Send Email 		Oct 15, 2008
2:39 pm

Dear members Thanks for your reply to my questions Here there are some questions. let A be a Banach algebra with bounded approximate identity and E Banach...
ghorbani_aylin
Offline Send Email 		Oct 16, 2008
4:29 pm

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...
shravan kumar
meet_shravan
Offline Send Email 		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
Offline Send Email 		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
Offline Send Email 		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
Offline Send Email 		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
Offline Send Email 		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
Offline Send Email 		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
Offline Send Email 		Aug 16, 2009
3:21 pm
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