Espaces vectoriels des fonctions entières et équations différentielles d'ordre infini
A relation between Fourier and Mellin averages
Densities on locally compact abelian groups
Densities on locally compact abelian groups
A density on a locally compact Abelian group is a bounded system of compatible measures on the compact quotients of . We study the Banach algebra of densities on , using the theory of almost periodic functions as a principal tool. In particular, we characterize those groups in which each density is induced by a measure on the semi-periodic compactification of . There are applications to the theory of uniform distribution.
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