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.
| Original language | English |
|---|---|
| Pages (from-to) | 982-997 |
| Number of pages | 16 |
| Journal | Integral Transforms and Special Functions |
| Volume | 31 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Dec 2020 |
Keywords
- Hankel transform
- uncertainty principle
- windowed Hankel transform
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Gao, W. B., & Li, B. Z. (2020). Uncertainty principles for the windowed Hankel transform. Integral Transforms and Special Functions, 31(12), 982-997. https://doi.org/10.1080/10652469.2020.1774576