IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Density of spaces of trigonometric polynomials with frequencies from a subgroup in $L^\alpha$-spaces
Autor/es:
JUAN MIGUEL MEDINA; LUTZ PETER KLOTZ; MANFRED RIEDEL
Revista:
COMPTES RENDUS DE L4ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Editorial:
Elsevier
Referencias:
Año: 2018 vol. 356 p. 586 - 593
ISSN:
0764-4442
Resumen:
Let $G$ be an LCA group, $H$ a closed subgroup, $arGamma$ the dual group of $G$ and $mu$ be a regular finite non-negative Borel measureon $arGamma$. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomialson $arGamma$ with frequencies from $H$ in the space $L^alpha(mu), alpha in (0,infty)$.
