# Notes on the Szego minimum problem. II. Singular measures

**Authors:** Alexander Borichev, Anna Kononova, Mikhail Sodin

arXiv: 1902.00872 · 2019-10-11

## TL;DR

This paper provides quantitative insights into the Szego minimum problem for measures on the unit circle concentrated on small sets, and refutes a conjecture of Nevai, advancing understanding in approximation theory.

## Contribution

It presents new quantitative results on the Szego minimum problem and disproves a previous conjecture by Nevai, expanding theoretical knowledge.

## Key findings

- Quantitative results on Szego minimum problem for singular measures
- Refutation of Nevai's conjecture
- Independent from previous related work

## Abstract

In this part, we prove several quantitative results concerning with the Szego minimum problem for classes of measure on the unit circle concentrated on small subsets. As a by-product, we refute one conjecture of Nevai.   This note can be read independently from the first one.

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1902.00872/full.md

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Source: https://tomesphere.com/paper/1902.00872