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 and G, it is known that the set of iterations FG(A)={Ajg|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 t...

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Bibliographic Details
Main Authors: Roza Aceska, Yeon H. Kim
Format: Article
Language:English
Published: Frontiers Media S.A. 2017-11-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:http://journal.frontiersin.org/article/10.3389/fams.2017.00022/full