Journal of Sciences, Islamic Republic of Iran, ( ISI ), Volume (17), No (3), Year (2006-3) , Pages (245-248)

Title : A Property of the Haar Measure of Some Special LCA Groups ( A Property of the Haar Measure of Some Special LCA Groups )

Authors: Rajab Ali Kamyabi Gol ,

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The Euclidean group (IRn, +) where n 2 IN, plays a key role in harmonic analysis. If we consider the Lebesgue measure dμIRn(x) as the Haar measure of this group then 1 2n dμIRn(x2) = dμIRn(x). In this article we look for LCA groups K, whose Haar measures have a similar property. In fact we will show that for some LCA groups K with the Haar measure μK, there exists a constant CK > 0 such that μK(A) = CK μK(A2) for every measurable subset A of K. Moreover we will characterize this constant for some special groups.

Keywords

A Property of the Haar Measure of Some Special LCA
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@article{paperid:1004249,
author = {Kamyabi Gol, Rajab Ali},
title = {A Property of the Haar Measure of Some Special LCA Groups},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2006},
volume = {17},
number = {3},
month = {March},
issn = {1016-1104},
pages = {245--248},
numpages = {3},
keywords = {A Property of the Haar Measure of Some Special LCA Groups},
}

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%0 Journal Article
%T A Property of the Haar Measure of Some Special LCA Groups
%A Kamyabi Gol, Rajab Ali
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2006

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