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

School of Mathematical Sciences

Tel Aviv University

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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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",

abstract = "In this note, we prove several quantitative results concerning the Szeg{\H o} 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.",

author = "Alexander Borichev and Anna Kononova and Mikhail Sodin",

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language = "الإنجليزيّة",

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T1 - Notes on the Szegő minimum problem. II. Singular measures

AU - Borichev, Alexander

AU - Kononova, Anna

AU - Sodin, Mikhail

PY - 2020/10

Y1 - 2020/10

N2 - 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.

AB - 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.

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U2 - 10.1007/s11856-020-2078-9

DO - 10.1007/s11856-020-2078-9

M3 - مقالة

SN - 0021-2172

VL - 240

SP - 745

EP - 767

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

Notes on the Szegő minimum problem. II. Singular measures

Abstract

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