TY - Type of reference TI - Zak transform for groupoids with abelian isotropy 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 - Advances in Pure and Applied Mathematics 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_2-2.pdfhttps://www.openscience.fr/IMG/pdf/iste_apam23v14n1_2.pdf LA - en PB - ISTE OpenScience DA - 2023/01/13 SN - 1869-6090 TT - Transformée de Zack pour les groupoides à groupe d’isotropie abélien UR - https://www.openscience.fr/Zak-transform-for-groupoids-with-abelian-isotropy IS - Issue 1 (January 2023) VL - 14 ER -