PreprintarXiv licencearXiv
Proof of the generalized Chui conjecture
Abstract
We prove Chui's conjecture on sums of Cauchy kernels. It states that among all configurations of Cauchy kernels on the unit disk, the equispaced one minimizes L1 norm of the sum in the unit disk. Moreover, we obtain a generalization to a wider set of functionals, including weighted Lp norms for p > 1 with radially symmetric weights.
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BibTeX
@misc{bezrukov2026proof,
title = {{Proof of the generalized Chui conjecture}},
author = {Egor Bezrukov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03134},
eprint = {2609.03134},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03134},
}
RIS
TY - UNPB
TI - Proof of the generalized Chui conjecture
AU - Egor Bezrukov
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03134
UR - https://arxiv.org/abs/2609.03134
AB - We prove Chui's conjecture on sums of Cauchy kernels. It states that among all configurations of Cauchy kernels on the unit disk, the equispaced one minimizes L^1 norm of the sum in the unit disk. Moreover, we obtain a generalization to a wider set of functionals, including weighted L^p norms for p > 1 with radially symmetric weights.
ER -