On R-duals of type III in Hilbert spaces
Representation Theory
2020-01-03 v3
Abstract
Following work by Casazza, Kutyniok and Lammers, and extensions by Stoeva and Christensen, we provide some novel characterizations of R-dual sequences of type III in Hilbert spaces. We systematically extend the construction procedure by basing it on a choice of an antiunitary involution. For certain classes of R-duals of type III, we derive a representation of the associated frame operator in terms of spectral measures.
Keywords
Cite
@article{arxiv.1610.06394,
title = {On R-duals of type III in Hilbert spaces},
author = {Hartmut Führ and Jahangir Cheshmavar and Ali Akbarnia},
journal= {arXiv preprint arXiv:1610.06394},
year = {2020}
}
Comments
We have changed the title, introduction and all the main results by helping Professor Hartmut Fuhr as a first author