Notes on the Szegő minimum problem. II. Singular measures

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Notes on the Szegő minimum problem. II. Singular measures. / Borichev, Alexander; Kononova, Anna ; Sodin, Mikhail.

In: Israel Journal of Mathematics, Vol. 240, No. 2, 10.2020, p. 745-767.

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

Author

Borichev, Alexander ; Kononova, Anna ; Sodin, Mikhail. / Notes on the Szegő minimum problem. II. Singular measures. In: Israel Journal of Mathematics. 2020 ; Vol. 240, No. 2. pp. 745-767.

BibTeX

@article{f857457844de47ad9efc60de14ac1e33,

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.",

keywords = "POLYNOMIALS",

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

note = "Funding Information: Supported by a joint grant of Russian Foundation for Basic Research and CNRS (projects 17-51-150005-NCNI-a and PRC CNRS/RFBR 2017–2019) and by the project ANR-18-CE40-0035. Funding Information: Supported by a joint grant of Russian Foundation for Basic Research and CNRS (projects 17-51-150005-NCNI-a and PRC CNRS/RFBR 2017–2019). Funding Information: Supported by ERC Advanced Grant 692616 and ISF Grant 382/15.",

year = "2020",

month = oct,

doi = "10.1007/s11856-020-2078-9",

language = "English",

volume = "240",

pages = "745--767",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

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

AU - Borichev, Alexander

AU - Kononova, Anna

AU - Sodin, Mikhail

N1 - Funding Information: Supported by a joint grant of Russian Foundation for Basic Research and CNRS (projects 17-51-150005-NCNI-a and PRC CNRS/RFBR 2017–2019) and by the project ANR-18-CE40-0035. Funding Information: Supported by a joint grant of Russian Foundation for Basic Research and CNRS (projects 17-51-150005-NCNI-a and PRC CNRS/RFBR 2017–2019). Funding Information: Supported by ERC Advanced Grant 692616 and ISF Grant 382/15.

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.

KW - POLYNOMIALS

UR - https://www.researchgate.net/publication/330871319_Notes_on_the_Szego_minimum_problem_II_Singular_measures

UR - http://www.scopus.com/inward/record.url?scp=85094177866&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/dad80955-1587-3adf-8f2a-7036ef5cbd6d/

U2 - 10.1007/s11856-020-2078-9

DO - 10.1007/s11856-020-2078-9

M3 - Article

VL - 240

SP - 745

EP - 767

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

SN - 0021-2172

IS - 2

ER -

ID: 50663586