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arXiv · 1512.03948

Deforming the Window of a Gabor Frame: the Ellipsoid Method

Maurice A. de Gosson
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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.

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Maurice A. de Gosson. 2015-12-12. Deforming the Window of a Gabor Frame: the Ellipsoid Method. https://arxiv.org/abs/1512.03948

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