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Fourier inequalities and sign uncertainty II
Abstract
Building on our earlier work, we present an L2-L1 inequality for radial Fourier eigenfunctions, relating this to the sign uncertainty principle of Bourgain, Clozel and Kahane. We also propose a generalisation of the aforementioned uncertainty principle.
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BibTeX
@misc{edwin2026fourier,
title = {{Fourier inequalities and sign uncertainty II}},
author = {Roni Edwin},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08224},
eprint = {2611.08224},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08224},
}
RIS
TY - UNPB
TI - Fourier inequalities and sign uncertainty II
AU - Roni Edwin
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08224
UR - https://arxiv.org/abs/2611.08224
AB - Building on our earlier work, we present an L^2-L^1 inequality for radial Fourier eigenfunctions, relating this to the sign uncertainty principle of Bourgain, Clozel and Kahane. We also propose a generalisation of the aforementioned uncertainty principle.
ER -