Decomposition of analytic measures on groups and measure spaces

• Autorzy: Nakhlé Asmar , Stephen Montgomery-Smith
• Języki publikacji: EN

Abstrakty

EN

We consider an arbitrary locally compact abelian group G, with an ordered dual group Γ, 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 Γ. 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.

Kategorie tematyczne

• 43A32: Other transforms and operators of Fourier type
• 43A17: Analysis on ordered groups, H p -theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 146
• Numer: 3
• Strony: 261-284

Daty

wydano

2001

Twórcy

autor

Nakhlé Asmar

• Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.

autor

Stephen Montgomery-Smith

• Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.

Identyfikatory

DOI

10.4064/sm146-3-4