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math.FA2019★ 3 cited
Dynamical Sampling for Shift-preserving Operators
A. Aguilera, C. Cabrelli, D. Carbajal +1
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators acting on a finitely generated shift-invariant space . We find conditi…
math.CA2019
Diagonalization of Shift-Preserving Operators
Alejandra Aguilera, Carlos Cabrelli, Diana Carbajal +1
In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define a new notion of diagonalization for these operator…