Scalability of Frames Generated by Dynamical Operators

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چکیده

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Scalability of Frames Generated by Dynamical Operators

Let H be a separable Hilbert space, let G ⊂ H, and let A be an operator on H. Under appropriate conditions on A andG, it is known that the set of iterations FG(A) = {Ag | g ∈ G, 0 ≤ j ≤ L(g)} is a frame for H. We call FG(A) a dynamical frame for H, and explore further its properties; in particular, we show that the canonical dual frame of FG(A) also has an iterative set structure. We explore th...

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ژورنال

عنوان ژورنال: Frontiers in Applied Mathematics and Statistics

سال: 2017

ISSN: 2297-4687

DOI: 10.3389/fams.2017.00022