Classes of Trimeasures: Applications of Harmonic Analysis

Colin C. Graham and Kari Ylinen
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Colin C. Graham: Northwestern University, Department of Mathematics
Kari Ylinen: University of Turku, Department of Mathematics

A chapter in Probability Measures on Groups X, 1991, pp 169-176 from Springer

Abstract: Abstract Let X1,... ,X n be locally compact Hausdorff spaces and C 0 (X i ) the commutative C*-algebra of continuous complex functions on X i vanishing at infinity for i = 1,..., n. A bounded n-linear form Ф : C 0 (X 1 ) × × C 0 (X n ) → C will be called a polymeasure. (The term muliimeasure also appears in the literature as a synonym, but we avoid it in order not to conflict with its other uses.) The Banach space of such polymeasures equipped with the usual supremum norm ∥•∥ we denote by PM(X1,... ,Xn). The cases n = 2 (bimeasures) and especially n = 3 (trimeasures) are of particular interest to us.

Keywords: Dual Group; Compact Abelian Group; Compact Hausdorff Space; Multilinear Operator; Discrete Abelian Group (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4899-2364-6_13

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