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math-ph2010
A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)
Maurice de Gosson
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 (sq…
math-ph2010
Construction of Multivariate Gaussian Weyl--Heisenberg Frames, (I)
Maurice de Gosson
Let ϕ be an arbitrary generalized Gaussian (squeezed coherent state), Λ_{αβ}=(α_1 Z \times\cdot\cdot\cdot\times α_{n}\mathbb{Z)\times}(β_{1}\mathbb{Z}\times\cdot\cdot\cdot \timesβ_…