Geodesic
Decomposition of analytic measures on groups and measure spaces
Nakhlé Asmar1 ; Stephen Montgomery-Smith1
1 Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
Studia Mathematica, Tome 146 (2001) no. 3, pp. 261-284

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider an arbitrary locally compact abelian group $G$, with an ordered dual group ${\mit \Gamma }$, acting on a space of measures. Under suitable conditions, we define the notion of analytic measures using the representation of $G$ and the order on ${\mit \Gamma }$. Our goal is to study analytic measures by applying a new transference principle for subspaces of measures, along with results from probability and Littlewood–Paley theory. As a consequence, we derive new properties of analytic measures as well as extensions of previous work of Helson and Lowdenslager, de Leeuw and Glicksberg, and Forelli.
DOI : 10.4064/sm146-3-4
Keywords: consider arbitrary locally compact abelian group ordered dual group mit gamma acting space measures under suitable conditions define notion analytic measures using representation order mit gamma study analytic measures applying transference principle subspaces measures along results probability littlewood paley theory consequence derive properties analytic measures extensions previous work helson lowdenslager leeuw glicksberg forelli

Nakhlé Asmar 1 ; Stephen Montgomery-Smith 1

1 Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A. 
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Nakhlé Asmar; Stephen Montgomery-Smith. Decomposition of analytic measures on groups
and measure spaces. Studia Mathematica, Tome 146 (2001) no. 3, pp. 261-284. doi: 10.4064/sm146-3-4

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