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Decomposition of analytic measures on groups and measure spaces

100%

Asmar N., Montgomery-Smith S.

Studia Mathematica

2001

tom 146

nr 3

261-284

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.

Littlewood-Paley theory on solenoids

100%

Asmar N., Montgomery-Smith S.

Colloquium Mathematicum

1993

tom 65

nr 1

69-82

Restrictions from $ℝ^{n}$ to $ℤ^{n}$ of weak type (1,1) multipliers

50%

Asmar N., Berkson E., Bourgain J.

Studia Mathematica

1994

tom 108

nr 3

291-299

Ograniczanie wyników

2 Studia Mathematica

1 Colloquium Mathematicum

3 Asmar N.

2 Montgomery-Smith S.

1 Berkson E.

1 Bourgain J.

1 2001

1 1994

1 1993

Wyniki wyszukiwania

Decomposition of analytic measures on groups and measure spaces

Littlewood-Paley theory on solenoids

Restrictions from $ℝ^{n}$ to $ℤ^{n}$ of weak type (1,1) multipliers