Resumen de Left translates of a square integrable function on the Heisenberg group

R. Radha, Saswata Adhikari

• The aim of this paper is to study some properties of left translates of a square integrable function on the Heisenberg group. First, a necessary and sufficient condition for the existence of the canonical dual to a function φ∈L2(R2n) is obtained in the case of twisted shift-invariant spaces. Further, characterizations of ℓ2-linear independence and the Hilbertian property of the twisted translates of a function φ∈L2(R2n) are obtained. Later these results are shown in the case of the Heisenberg group.