Bracket map for Heisenberg group and the characterization of cyclic subspaces [article]

Davide Barbieri, Eugenio Hernandez, Azita Mayeli
2013 arXiv   pre-print
The bracket map was originally considered for locally compact abelian groups. In this work we extend the study of bracket maps to the noncommutative setting, providing characterizations of bases and frames for cyclic subspaces of the Heisenberg group. We also indicate how to generalize these results to a class of non-abelian nilpotent Lie groups whose irreducible representations are square integrable modulo the center.
arXiv:1303.2350v1 fatcat:qspfwv3pxbaw7m756r55i7opju