Standard

Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations. / Khavin, V. P.; Bart, V. A.

In: Ukrainian Mathematical Journal, Vol. 46, No. 1, 01.1994, p. 101-132.

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

Harvard

Khavin, VP & Bart, VA 1994, 'Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations', Ukrainian Mathematical Journal, vol. 46, no. 1, pp. 101-132. https://doi.org/10.1007/BF01057004

APA

Khavin, V. P., & Bart, V. A. (1994). Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations. Ukrainian Mathematical Journal, 46(1), 101-132. https://doi.org/10.1007/BF01057004

Vancouver

Khavin VP, Bart VA. Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations. Ukrainian Mathematical Journal. 1994 Jan;46(1):101-132. https://doi.org/10.1007/BF01057004

Author

Khavin, V. P. ; Bart, V. A. / Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations. In: Ukrainian Mathematical Journal. 1994 ; Vol. 46, No. 1. pp. 101-132.

BibTeX

@article{4a090f3fa4da490bb9ee2482ab9db336,
title = "Szeg{\"o}-Kolmogorov-Krein theorems on weighted trigonometrical approximation and C{\'a}rleman-type relations",
abstract = "We consider the well-known Szeg{\"o} — Kolmogorov — Krein theorems on weighted approximations by functions with semibounded spectra defined on a circle or on a line and suggest an efficient construction that realizes these approximations. This construction is based on relations similar to the C{\'a}rleman formula for reconstructing analytic functions in terms of their traces on the boundary of their domains of definition.",
author = "Khavin, {V. P.} and Bart, {V. A.}",
year = "1994",
month = jan,
doi = "10.1007/BF01057004",
language = "English",
volume = "46",
pages = "101--132",
journal = "Ukrainian Mathematical Journal",
issn = "0041-5995",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations

AU - Khavin, V. P.

AU - Bart, V. A.

PY - 1994/1

Y1 - 1994/1

N2 - We consider the well-known Szegö — Kolmogorov — Krein theorems on weighted approximations by functions with semibounded spectra defined on a circle or on a line and suggest an efficient construction that realizes these approximations. This construction is based on relations similar to the Cárleman formula for reconstructing analytic functions in terms of their traces on the boundary of their domains of definition.

AB - We consider the well-known Szegö — Kolmogorov — Krein theorems on weighted approximations by functions with semibounded spectra defined on a circle or on a line and suggest an efficient construction that realizes these approximations. This construction is based on relations similar to the Cárleman formula for reconstructing analytic functions in terms of their traces on the boundary of their domains of definition.

UR - http://www.scopus.com/inward/record.url?scp=84951599391&partnerID=8YFLogxK

U2 - 10.1007/BF01057004

DO - 10.1007/BF01057004

M3 - Article

AN - SCOPUS:84951599391

VL - 46

SP - 101

EP - 132

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

SN - 0041-5995

IS - 1

ER -

ID: 61822909