Marcin Bownik
Published 2018-02-01Version 1
In this paper we survey a recent progress on continuous frames inspired by the solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava. We present an extension of Lyapunov's theorem for discrete frames due to Akemann and Weaver and a similar extension for continuous frames by the author. We also outline a solution of the discretization problem, which was originally posed by Ali, Antoine, and Gazeau, and recently solved by Freeman and Speegle.
Lyapunov's Theorem for continuous frames
Discretization in generalized coorbit spaces: extensions, annotations and errata for "Continuous Frames, Function Spaces and the Discretization Problem" by M. Fornasier and H. Rauhut
Continuous Frames, Function Spaces, and the Discretization Problem
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