Group Riesz and Frame Sequences: The Bracket and the Gramian
Functional Analysis
2016-08-10 v1
Abstract
Given a discrete group and a unitary representation on a Hilbert space , we prove that the notions of operator Bracket map and Gramian coincide on a dense set of . As a consequence, combining this result with known frame theory, we can recover in a simple way all previous Bracket characterizations of Riesz and frame sequences generated by a single element under a unitary representation.
Keywords
Cite
@article{arxiv.1608.02767,
title = {Group Riesz and Frame Sequences: The Bracket and the Gramian},
author = {Davide Barbieri and Eugenio Hernandez and Victoria Paternostro},
journal= {arXiv preprint arXiv:1608.02767},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1506.08942