Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen.
Indefinite Funtions on Commutative Groups.
Integral characterization of elementary definitizable functions.
Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible repesentations.
Integral representations in conuclear cones.
Integral representations on convex semigroups.
Interpolation by the Fourier-Stieltjes transform of a positive compactly supported measure
Irreducible representations of free products of infinite groups
Krengel-Lin decomposition for noncompact groups
Laplace Integral on Rational Numbers.
Laplace transform and unitary highest weight modules.
Le fonctions de Lévy existent!
Locally Compact Groups Acting on Trees and Property T.
Markov product of positive definite kernels and applications to Q-matrices of graph products
We show positivity of the Q-matrix of four kinds of graph products: direct product (Cartesian product), star product, comb product, and free product. During the discussion we give an alternative simple proof of the Markov product theorem on positive definite kernels.
Maximale Integralzerlegungen invarianter positiv definiter Funktionen auf diskreten Gruppen.
Mesures de Lévy et fonctions de Lévy générales Applications à la décomposition de Lévy-Khintchine
Moment problems on subsemigroups of N ... and Zk.
Non-commutative moment problems.
Normes de Sobolev et convoluteurs bornés sur
Un groupe localement compact muni d’une fonction-longueur a la propriété par rapport à si toute fonction à décroissance rapide sur définit un convoluteur borné sur . Nous donnons une condition suffisante assez générale pour que le couple ait la propriété . Pour un tel couple, nous caractérisons les fonctions de type positif sur faiblement associées à la représentation régulière gauche et, dans le cas discret, nous considérons les propriétés d’approximation de l’algèbre de Fourier...
On -cocycles induced by a positive definite function on a locally compact abelian group
For a normalized positive definite function on a locally compact abelian group , let be the unitary representation associated to by the GNS construction. We give necessary and sufficient conditions for the vanishing of 1-cohomology and reduced 1-cohomology . For example, if and only if either or , where is the trivial character of and is the probability measure on the Pontryagin dual associated to by Bochner’s Theorem. This streamlines an argument of Guichardet (see Theorem...