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arXiv · 1611.06469

The discretization problem for continuous frames

Daniel Freeman·Darrin Speegle
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Abstract

We characterize when a coherent state or continuous frame for a Hilbert space may be sampled to obtain a frame, which solves the discretization problem for continuous frames. In particular, we prove that every bounded continuous frame for a Hilbert space may be sampled to obtain a frame.

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Daniel Freeman, Darrin Speegle. 2016-11-20. The discretization problem for continuous frames. https://arxiv.org/abs/1611.06469

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