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Phase retrieval in infinite dimensions

By Ingrid Daubechies

Appears in collections : Coherent states and their applications: a contemporary panorama / Etats cohérents et leurs applications : un panorama contemporain, Distinguished women in mathematics

Retrieving an arbitrary signal from the magnitudes of its inner products with the elements of a frame is not possible in infinite dimensions. Under certain conditions, signals can be retrieved satisfactorily however.

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Citation data

  • DOI 10.24350/CIRM.V.19089403
  • Cite this video Daubechies Ingrid (11/15/16). Phase retrieval in infinite dimensions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19089403
  • URL https://dx.doi.org/10.24350/CIRM.V.19089403

Bibliography

  • Alaifari, R., Daubechies, I., Grohs, P., Yin, R. (2016). Stable phase retrieval in infinite dimensions. <arXiv:1609.00034> - https://arxiv.org/abs/1609.00034
  • Cahill, J., Casazza, P.G., & Daubechies, I. (2016). Phase retrieval in infinite-dimensional Hilbert spaces. Transactions of the American Mathematical Society Series B, 3, 63-76 - http://dx.doi.org/10.1090/btran/12

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