A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)
Mathematical Physics
2010-12-16 v2 Functional Analysis
math.MP
Symplectic Geometry
Quantum Physics
Abstract
In a previous Note we established a necessary and sufficient condition for a multivariate Weyl--Heisenberg system G({\phi},{\Lambda}) to be a frame when the window is a generalized Gaussian (squeezed coherent state) and {\Lambda} a rectangular lattice. In this Note we extend this result to lattices of the type where M is a positive definite symmetric matrix.
Cite
@article{arxiv.1012.0528,
title = {A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)},
author = {Maurice de Gosson},
journal= {arXiv preprint arXiv:1012.0528},
year = {2010}
}
Comments
Withdrawn due to an error