Tight frames over the quaternions and equiangular lines
S Waldron - arXiv preprint arXiv:2006.06126, 2020 - arxiv.org
We show that much of the theory of finite tight frames can be generalised to vector spaces
over the quaternions. This includes the variational characterisation, group frames, and the …
over the quaternions. This includes the variational characterisation, group frames, and the …
Admissibility and frame homotopy for quaternionic frames
T Needham, C Shonkwiler - Linear Algebra and its Applications, 2022 - Elsevier
We consider the following questions: when do there exist quaternionic frames with given
frame spectrum and given frame vector norms? When such frames exist, is it always …
frame spectrum and given frame vector norms? When such frames exist, is it always …
Closed Range and Preserving Frames of Weighted Composition Operator on Quaternionic Fock Space
Y Liang, M Liu - Results in Mathematics, 2024 - Springer
In this paper, we completely describe the closed range of bounded weighted composition
operator on the quaternionic Fock space\(\mathcal {F}^ 2 (\mathbb {H})\). This result further …
operator on the quaternionic Fock space\(\mathcal {F}^ 2 (\mathbb {H})\). This result further …