The discretization problem for continuous frames
| Autor: | Daniel Freeman, Darrin Speegle |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Discretization
General Mathematics 010102 general mathematics Mathematical analysis Frame (networking) ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Hilbert space Multiple applications 01 natural sciences symbols.namesake Bounded function 0103 physical sciences Scalability symbols Coherent states 010307 mathematical physics 0101 mathematics Algorithm Discretization of continuous features Mathematics |
| Zdroj: | Advances in Mathematics. 345:784-813 |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2019.01.006 |
| Popis: | 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. We give multiple applications to different classes of frames such as scalable frames and Gabor frames. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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