Notes on the Szegő minimum problem. II. Singular measures

Alexander Borichev; Anna Kononova; Mikhail Sodin

doi:10.1007/s11856-020-2078-9

Notes on the Szegő minimum problem. II. Singular measures

Alexander Borichev, Anna Kononova, Mikhail Sodin^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	745-767
Number of pages	23
Journal	Israel Journal of Mathematics
Volume	240
Issue number	2
DOIs	https://doi.org/10.1007/s11856-020-2078-9
State	Published - Oct 2020

Funding

Funders	Funder number
European Research Council
Russian Foundation for Basic Research	PRC CNRS/RFBR 2017–2019, 17-51-150005-NCNI-a
Israel Science Foundation	382/15
Agence Nationale de la Recherche	ANR-18-CE40-0035
Horizon 2020 Framework Programme	692616

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10.1007/s11856-020-2078-9

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title = "Notes on the Szeg{\H o} minimum problem. II. Singular measures",

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Notes on the Szegő minimum problem. II. Singular measures

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