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math.FA2015
Frames of translates with prescribed fine structure in shift invariant spaces
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
For a given finitely generated shift invariant (FSI) subspace $\cW\subset L^2(\R^k)$ we obtain a simple criterion for the existence of shift generated (SG) Bessel sequences $E(\cF)…
math.FA2015
Convex potentials and optimal shift generated oblique duals in shift invariant spaces
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
We introduce an extension of the convex potentials for finite frames (e.g. the frame potential defined by Benedetto and Fickus) in the framework of Bessel sequences of integer tran…
math.FA2014
Aliasing and oblique dual pair designs for consistent sampling
Maria Jose Benac, Pedro Massey, Demetrio Stojanoff
In this paper we study some aspects of oblique duality between finite sequences of vectors $\cF$ and $\cG$ lying in finite dimensional subspaces $\cW$ and $\cV$, respectively. We c…