Mathématiques > Accueil > Avancées en Mathématiques Pures et Appliquées > Numéro 1 (Janvier 2023) > Article
Ibrahima Toure
Université Félix Houphouët-Boigny
Côte d’Ivoire
Kinvi Kangni
Université Félix Houphouët-Boigny
Côte d’Ivoire
Publié le 13 janvier 2023 DOI : 10.21494/ISTE.OP.2023.0904
Let 𝒢 be a second countable locally compact Hausdorff groupoid with abelian isotropy groups and 𝓛 be a lattice bundle in the isotropy subgroupoid 𝒢 ’ of 𝒢. In this paper, we define a Zak transform on 𝒢 relatively to 𝓛 and study some of its properties. Moreover, we use Zak transform to obtain some characterizations of the cyclic subbundle of the left regular representation of 𝒢 restricted to 𝓛.
Let 𝒢 be a second countable locally compact Hausdorff groupoid with abelian isotropy groups and 𝓛 be a lattice bundle in the isotropy subgroupoid 𝒢 ’ of 𝒢. In this paper, we define a Zak transform on 𝒢 relatively to 𝓛 and study some of its properties. Moreover, we use Zak transform to obtain some characterizations of the cyclic subbundle of the left regular representation of 𝒢 restricted to 𝓛.
Zak Transform Locally compact groupoids Unitary representations Cyclic subbundles
Zak Transform Locally compact groupoids Unitary representations Cyclic subbundles