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Deforming the Window of a Gabor Frame: the Ellipsoid Method

Published 12 Dec 2015 in math.FA, math-ph, math.MP, and quant-ph | (1512.03948v1)

Abstract: In a 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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Authors (1)

  1. Maurice A. de Gosson 

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