Bracket map for Heisenberg group and the characterization of cyclic subspaces
Functional Analysis
2013-03-12 v1 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1303.2350,
title = {Bracket map for Heisenberg group and the characterization of cyclic subspaces},
author = {Davide Barbieri and Eugenio Hernandez and Azita Mayeli},
journal= {arXiv preprint arXiv:1303.2350},
year = {2013}
}