Perturbations of Weyl-Heisenberg frames

2000/08/22 by Peter G. Casazza, Casazza, Peter G., Ole Christensen +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.math/0008174

12 pages

arxiv created 2000/08/22 · arxiv updated 2009/11/30

Abstract

We develop a usable perturbation theory for Weyl-Heisenberg frames. In particular, we prove that if (E_mbT_nag)_{m,n\inmathbb Z} is a WH-frame and h is a function which is close to g in the Wiener Amalgam space norm, then (E_mbT_nah)_{m,n∈ \mathbb Z} is also a WH-frame.

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