Resumen de ℓ2(?) -linear independence for systems generated by dual integrable representations of LCA groups

Ivana Slamić

• Let T be a dual integrable representation of a countable discrete LCA group G acting on a Hilbert space ℍ . We consider the problem of characterizing ℓ2(?) -linear independence of the system ?={???:?∈?} for a given function ?∈ℍ in terms of the bracket function. The characterization theorem is obtained for the case when G is a uniform lattice of the p-adic Vilenkin group acting by translations and a partial answer is given for the case when ? is the Gabor system.