English

Linear Independence of Time-Frequency Shifts?

Functional Analysis 2017-06-21 v1

Abstract

We investigate finite sections of Gabor frames and study the asymptotic behavior of their lower Riesz bound. From a numerical point of view, these sets of time-frequency shifts are linearly dependent, whereas from a rigorous analytic point of view, they are conjectured to be linearly independent.

Keywords

Cite

@article{arxiv.1401.1353,
  title  = {Linear Independence of Time-Frequency Shifts?},
  author = {Karlheinz Gröchenig},
  journal= {arXiv preprint arXiv:1401.1353},
  year   = {2017}
}

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10 pages