Article ID Journal Published Year Pages File Type
4605044 Applied and Computational Harmonic Analysis 2014 17 Pages PDF
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
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