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The Young type theorem in weighted Fock spaces. / Baranov, Anton; Belov, Yurii; Borichev, Alexander.

In: Bulletin of the London Mathematical Society, Vol. 50, No. 2, 01.04.2018, p. 357-363.

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

Harvard

Baranov, A, Belov, Y & Borichev, A 2018, 'The Young type theorem in weighted Fock spaces', Bulletin of the London Mathematical Society, vol. 50, no. 2, pp. 357-363. https://doi.org/10.1112/blms.12144

APA

Baranov, A., Belov, Y., & Borichev, A. (2018). The Young type theorem in weighted Fock spaces. Bulletin of the London Mathematical Society, 50(2), 357-363. https://doi.org/10.1112/blms.12144

Vancouver

Baranov A, Belov Y, Borichev A. The Young type theorem in weighted Fock spaces. Bulletin of the London Mathematical Society. 2018 Apr 1;50(2):357-363. https://doi.org/10.1112/blms.12144

Author

Baranov, Anton ; Belov, Yurii ; Borichev, Alexander. / The Young type theorem in weighted Fock spaces. In: Bulletin of the London Mathematical Society. 2018 ; Vol. 50, No. 2. pp. 357-363.

BibTeX

@article{43221c68f4fa4a57899d793dfbeadb00,
title = "The Young type theorem in weighted Fock spaces",
abstract = "We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight. This result generalizes a theorem by Young on reproducing kernels in the Paley–Wiener space and a recent result of Belov for the classical Bargmann–Segal–Fock space.",
keywords = "30B60 (primary), 30D10, 30D15, 30H20, 42A63 (secondary)",
author = "Anton Baranov and Yurii Belov and Alexander Borichev",
year = "2018",
month = apr,
day = "1",
doi = "10.1112/blms.12144",
language = "English",
volume = "50",
pages = "357--363",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - The Young type theorem in weighted Fock spaces

AU - Baranov, Anton

AU - Belov, Yurii

AU - Borichev, Alexander

PY - 2018/4/1

Y1 - 2018/4/1

N2 - We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight. This result generalizes a theorem by Young on reproducing kernels in the Paley–Wiener space and a recent result of Belov for the classical Bargmann–Segal–Fock space.

AB - We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight. This result generalizes a theorem by Young on reproducing kernels in the Paley–Wiener space and a recent result of Belov for the classical Bargmann–Segal–Fock space.

KW - 30B60 (primary)

KW - 30D10

KW - 30D15

KW - 30H20

KW - 42A63 (secondary)

UR - http://www.scopus.com/inward/record.url?scp=85043293651&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/young-type-theorem-weighted-fock-spaces

U2 - 10.1112/blms.12144

DO - 10.1112/blms.12144

M3 - Article

AN - SCOPUS:85043293651

VL - 50

SP - 357

EP - 363

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 2

ER -

ID: 32722650