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    Article

    Invariance of a Shift-Invariant Space in Several Variables

    In this article we study invariance properties of shift-invariant spaces in higher dimensions. We state and prove several necessary and sufficient conditions for a shift-invariant space to be invariant under a...

    Magalí Anastasio, Carlos Cabrelli… in Complex Analysis and Operator Theory (2011)

  2. Article

    A Dimension Reduction Scheme for the Computation of Optimal Unions of Subspaces

    Given a set of points F in a high dimensional space, the problem of finding a union of subspaces ∪i Vi ⊆ RN that best explains the data F increases dramatically with the dimension of RN. In this article, we study...

    Akram Aldroubi, Magalí Anastasio… in Sampling Theory in Signal and Image Proces… (2011)

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    Article

    Sampling in a Union of Frame Generated Subspaces

    A new paradigm in sampling theory has been developed recently by Lu and Do. In this new approach the classical linear model is replaced by a non-linear, but structured, model consisting of a union of subspaces...

    Magalí Anastasio, Carlos Cabrelli in Sampling Theory in Signal and Image Processing (2009)