IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
J_H-regular Borel measures on locally compact abelian groups
Autor/es:
LUTZ PETER KLOTZ; JUAN MIGUEL MEDINA
Revista:
ACTA MATHEMATICA HUNGARICA
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2019 vol. 159 p. 42 - 54
ISSN:
0236-5294
Resumen:
et $G$ be an LCA group, $H$ a closed subgroup, $arGamma$ the dual group of $G$. In accordance with analogous notions in prediction theory the classes of $mathcal J_H$-regular and $mathcal J_H$-singular Borel measures on $Gamma$ are defined. A characterization of $mathcal J_H$-regular measures is given anda Wold type decomposition is obtained. Relations to the Whittaker-Shannon-Kotel´nikov theorem are discussed.