TY  - Type of reference 
TI  - Transformée de Zack pour les groupoides à groupe d’isotropie abélien 
AU  - Ibrahima Toure 
AU  - Kinvi Kangni 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2023.0904 
JF  - Avancées en Mathématiques Pures et Appliquées 
KW  - Zak Transform,  Locally compact groupoids,  Unitary representations,  Cyclic subbundles, Zak Transform,  Locally compact groupoids,  Unitary representations,  Cyclic subbundles,  
L1  - https://www.openscience.fr/IMG/pdf/iste_apam23v14n1_2.pdf 
LA  - fr 
PB  - ISTE OpenScience 
DA  - 2023/01/13 
SN  - 1869-6090 
TT  - Zak transform for groupoids with abelian isotropy 
UR  - https://www.openscience.fr/Transformee-de-Zack-pour-les-groupoides-a-groupe-d-isotropie-abelien 
IS  - Numéro 1 (Janvier 2023) 
VL  - 14 
ER  -