Deforming the Window of a Gabor Frame: the Ellipsoid Method
Functional Analysis
2015-12-15 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
In a recent paper in Appl. Comput. Harmon. Anal. 38(2), 196--221 (2014) we have introduced and studied the notion of weak Hamiltonian deformation of a Gabor (=Weyl-Heisenberg) frame. In this Note we use these results to prove that one can modify the window of a Gabor frame using certain metaplectic operators provided that one modifies only a finite number of points of the frame lattice.
Keywords
Cite
@article{arxiv.1512.03948,
title = {Deforming the Window of a Gabor Frame: the Ellipsoid Method},
author = {Maurice A. de Gosson},
journal= {arXiv preprint arXiv:1512.03948},
year = {2015}
}
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Short Note