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Completeness and Riesz bases of reproducing kernels in model subspaces. / Baranov, Anton.

в: International Mathematics Research Notices, Том 2006, 81530, 05.12.2006.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Baranov, A 2006, 'Completeness and Riesz bases of reproducing kernels in model subspaces', International Mathematics Research Notices, Том. 2006, 81530. https://doi.org/10.1155/IMRN/2006/81530

APA

Baranov, A. (2006). Completeness and Riesz bases of reproducing kernels in model subspaces. International Mathematics Research Notices, 2006, [81530]. https://doi.org/10.1155/IMRN/2006/81530

Vancouver

Baranov A. Completeness and Riesz bases of reproducing kernels in model subspaces. International Mathematics Research Notices. 2006 Дек. 5;2006. 81530. https://doi.org/10.1155/IMRN/2006/81530

Author

Baranov, Anton. / Completeness and Riesz bases of reproducing kernels in model subspaces. в: International Mathematics Research Notices. 2006 ; Том 2006.

BibTeX

@article{c3f030c8b32540baba629d3294ff831f,
title = "Completeness and Riesz bases of reproducing kernels in model subspaces",
abstract = "We use the recent approach of N. Makarov and A. Poltoratski to give a criterion for completeness of systems of reproducing kernels in the model subspaces KΘ =H2 ⊖ΘH2 of the Hardy class H2 . As an application, we prove new results on stability of completeness with respect to small perturbations and obtain criteria for completeness in terms of certain densities. We also obtain a description of systems of reproducing kernels corresponding to real points which form a Riesz basis in a given model subspace generated by a meromorphic inner function Θ.",
author = "Anton Baranov",
year = "2006",
month = dec,
day = "5",
doi = "10.1155/IMRN/2006/81530",
language = "English",
volume = "2006",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",

}

RIS

TY - JOUR

T1 - Completeness and Riesz bases of reproducing kernels in model subspaces

AU - Baranov, Anton

PY - 2006/12/5

Y1 - 2006/12/5

N2 - We use the recent approach of N. Makarov and A. Poltoratski to give a criterion for completeness of systems of reproducing kernels in the model subspaces KΘ =H2 ⊖ΘH2 of the Hardy class H2 . As an application, we prove new results on stability of completeness with respect to small perturbations and obtain criteria for completeness in terms of certain densities. We also obtain a description of systems of reproducing kernels corresponding to real points which form a Riesz basis in a given model subspace generated by a meromorphic inner function Θ.

AB - We use the recent approach of N. Makarov and A. Poltoratski to give a criterion for completeness of systems of reproducing kernels in the model subspaces KΘ =H2 ⊖ΘH2 of the Hardy class H2 . As an application, we prove new results on stability of completeness with respect to small perturbations and obtain criteria for completeness in terms of certain densities. We also obtain a description of systems of reproducing kernels corresponding to real points which form a Riesz basis in a given model subspace generated by a meromorphic inner function Θ.

UR - http://www.scopus.com/inward/record.url?scp=33751544784&partnerID=8YFLogxK

U2 - 10.1155/IMRN/2006/81530

DO - 10.1155/IMRN/2006/81530

M3 - Article

AN - SCOPUS:33751544784

VL - 2006

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

M1 - 81530

ER -

ID: 32722000