%0 Journal Article
%T A Property of the Haar Measure of Some Special LCA Groups
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%D 2006
%\ 09/01/2006
%V 17
%N 3
%P -
%! A Property of the Haar Measure of Some Special LCA Groups
%R
%X The Euclidean group (Rn,+) where (n?N, plays a key role in harmonic analysis. If we consider the Lebesgue measure ()nd?xR as the Haar measure of this group then 12(2)()nd?x=d?RR. 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 K?, there exists a constant such that 0KC>()(2)KKK?A=C?A for every measurable subset A of K. Moreover we will characterize this constant for some special groups.
%U https://jsciences.ut.ac.ir/article_31764_7c0225f4f36a8d67fad6b6ae7135f6fb.pdf