Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605044 | Applied and Computational Harmonic Analysis | 2014 | 17 Pages |
Abstract
The bracket map was originally considered in [6] 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Davide Barbieri, Eugenio Hernández, Azita Mayeli,