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The discretization problem for continuous frames

Publication ,  Journal Article
Freeman, D; Speegle, D
Published in: Advances in Mathematics

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.

Published In

Advances in Mathematics

ISSN

0001-8708

Publisher

Elsevier

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

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Freeman, D., & Speegle, D. (n.d.). The discretization problem for continuous frames (Accepted). Advances in Mathematics.
Freeman, Daniel, and Darrin Speegle. “The discretization problem for continuous frames (Accepted).” Advances in Mathematics, n.d.
Freeman D, Speegle D. The discretization problem for continuous frames (Accepted). Advances in Mathematics.
Freeman, Daniel, and Darrin Speegle. “The discretization problem for continuous frames (Accepted).” Advances in Mathematics, Elsevier.
Freeman D, Speegle D. The discretization problem for continuous frames (Accepted). Advances in Mathematics. Elsevier;
Journal cover image

Published In

Advances in Mathematics

ISSN

0001-8708

Publisher

Elsevier

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics