Two quantitative versions of the Nonlinear Carleson Conjecture
Year: 2025
Type: article
Abstract: In this note, we state and compare two quantitative versions of the Nonlinear Carleson Conjecture (NCC). We provide motivations for our conjectures and show that they both imply the NCC. We also obtain some applications to the zero distribution of polynomials orthogonal on the unit circle and to their pointwise asymptotics.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.806
Author: Sergey A. Denisov
Institution: University of Wisconsin–Madison
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417287458