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Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely generated...

Semistable convolution semigroups on measurable and topological groups

Eberhard Siebert (1984)

Annales de l'I.H.P. Probabilités et statistiques

Separability of orbits of functions on locally compact groups

H. Porta, L. Rubel, A. Shields (1973)

Studia Mathematica

Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups

Colin C. Graham, Anthony To-Ming Lau, Michael Leinert (1988)

Colloquium Mathematicae

Separation by characters or positive definite functions.

T.M. Bisgaard (1996)

Semigroup forum

Separation of unitary representations of exponential Lie groups.

Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)

Journal of Lie Theory

Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact

Michel Lassalle (1978)

Annales scientifiques de l'École Normale Supérieure

Series trigonometriques speciales et corps quadratiques

Yves Meyer (1972)

Studia Mathematica

Sesquiregular Measures in Product Spaces and Convolution of Such Measures

Miloslav Duchoň (1974)

Matematický časopis

Sets of interpolation and small p sets

Louis Pigno (1987)

Colloquium Mathematicae

Sets of interpolation for Fourier transforms of bimeasures

Colin C. Graham, Bertram M. Schreiber (1987)

Colloquium Mathematicae

Sets of p-multiplicity in locally compact groups

I. G. Todorov, L. Turowska (2015)

Studia Mathematica

We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if $E * = (s, t) : t s^{- 1} \in E$ is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.

Sets of uniform convergence

Luisa Pedemonte (1975)

Colloquium Mathematicae

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