Completeness of coherent state subsystems for nilpotent Lie groups
Jordy Timo van Velthoven (TU Delft - Analysis)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
Let G be a nilpotent Lie group and let π be a coherent state representation of G. The interplay between the cyclicity of the restriction πjΓ to a lattice ≤ G and the completeness of subsystems of coherent states based on a homogeneous G-space is considered. In particular, it is shown that necessary density conditions for Perelomov's completeness problem can be obtained via density conditions for the cyclicity of πjΓ.
help_outline