A characterization of the invertible measures

A. Ülger. "A characterization of the invertible measures." Studia Mathematica 182.3 (2007): 197-203. <http://eudml.org/doc/285187>.

@article{A2007,
abstract = {Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.},
author = {A. Ülger},
journal = {Studia Mathematica},
keywords = {measure algebra, invertible measures, Fourier algebra},
language = {eng},
number = {3},
pages = {197-203},
title = {A characterization of the invertible measures},
url = {http://eudml.org/doc/285187},
volume = {182},
year = {2007},
}

TY - JOUR
AU - A. Ülger
TI - A characterization of the invertible measures
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 3
SP - 197
EP - 203
AB - Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.
LA - eng
KW - measure algebra, invertible measures, Fourier algebra
UR - http://eudml.org/doc/285187
ER -