@article{Liu2024, 
author = {Aifang Liu and Jian Wu},
title = {g-frame generator sets for projective unitary representations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16506-16525},
keywords = {g-frame generator set, projective unitary representation, dilation, unitary group, dual g-frame generator},
url = {https://www.sciopen.com/article/10.3934/math.2024800},
doi = {10.3934/math.2024800},
abstract = {Frames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on. In this paper, we will discuss a more general setting, i.e., a g-frame induced by the projective unitary representation. We show some new results on the dilation property for g-frame generator sets for unitary groups and projective unitary representations. In particular, by using complete wandering operators, several properties of g-frame generators for projective unitary representations have been obtained. Moreover, we explore some characterizations of the g-frame generator dual pairs.}
}