A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)

Abstract

In a previous Note we established a necessary and sufficient condition for a multivariate Weyl--Heisenberg system G(ϕ,Λ) to be a frame when the window is a generalized Gaussian (squeezed coherent state) and Λ a rectangular lattice. In this Note we extend this result to lattices of the type $\Lambda =M{Z}^{2n}$ where M is a positive definite symmetric matrix.

Withdrawn due to an error