# A characterization of the invertible measures

Studia Mathematica (2007)

- Volume: 182, Issue: 3, page 197-203
- ISSN: 0039-3223

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topA. 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 -

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