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Uncertainty principles for the windowed Hankel transform

Classical Analysis and ODEs 2021-08-23 v1

Abstract

The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.

Keywords

Cite

@article{arxiv.1911.02145,
  title  = {Uncertainty principles for the windowed Hankel transform},
  author = {Wen-Biao Gao and Bing-Zhao Li},
  journal= {arXiv preprint arXiv:1911.02145},
  year   = {2021}
}

Comments

15 pages

R2 v1 2026-06-23T12:06:53.717Z