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In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi-asymptotically almost periodic function. We introduce and analyze several new classes of remotely -almost periodic functions in slowly oscillating functions in and further analyze the recently introduced class of quasi-asymptotically -almost periodic functions...
Some relationships between representations of a hypergroup X,
its algebras, and positive definite functions on X are studied. Also, various
types of convergence of positive definite functions on X are discussed.
Soit une distribution dissipative sur un groupe de Lie et soit une représentation fortement continue de dans un espace de Banach. Supposons à support compact. Il y a deux façons évidentes de définir un opérateur fermé : une faible et une forte. Le résultat principal de cet article est que l’on obtient le même résultat et que engendre un semi-groupe fortement continu d’opérateurs.
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
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