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Complete interpolating sequences for the Gaussian shift-invariant space. / Baranov, Anton; Belov, Yurii; Gröchenig, Karlheinz.

In: Applied and Computational Harmonic Analysis, Vol. 61, 11.2022, p. 191-201.

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

Harvard

Baranov, A, Belov, Y & Gröchenig, K 2022, 'Complete interpolating sequences for the Gaussian shift-invariant space', Applied and Computational Harmonic Analysis, vol. 61, pp. 191-201. https://doi.org/10.1016/j.acha.2022.07.001

APA

Baranov, A., Belov, Y., & Gröchenig, K. (2022). Complete interpolating sequences for the Gaussian shift-invariant space. Applied and Computational Harmonic Analysis, 61, 191-201. https://doi.org/10.1016/j.acha.2022.07.001

Vancouver

Baranov A, Belov Y, Gröchenig K. Complete interpolating sequences for the Gaussian shift-invariant space. Applied and Computational Harmonic Analysis. 2022 Nov;61:191-201. https://doi.org/10.1016/j.acha.2022.07.001

Author

Baranov, Anton ; Belov, Yurii ; Gröchenig, Karlheinz. / Complete interpolating sequences for the Gaussian shift-invariant space. In: Applied and Computational Harmonic Analysis. 2022 ; Vol. 61. pp. 191-201.

BibTeX

@article{7c9af443556b4f84b1ae803f93cabcbb,
title = "Complete interpolating sequences for the Gaussian shift-invariant space",
abstract = "We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions for sampling and interpolation.",
keywords = "Avdonin-type condition, Interpolation, Riesz bases, Sampling, Shift-invariant space, Small Fock spaces",
author = "Anton Baranov and Yurii Belov and Karlheinz Gr{\"o}chenig",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = nov,
doi = "10.1016/j.acha.2022.07.001",
language = "English",
volume = "61",
pages = "191--201",
journal = "Applied and Computational Harmonic Analysis",
issn = "1063-5203",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Complete interpolating sequences for the Gaussian shift-invariant space

AU - Baranov, Anton

AU - Belov, Yurii

AU - Gröchenig, Karlheinz

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022/11

Y1 - 2022/11

N2 - We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions for sampling and interpolation.

AB - We give a full description of complete interpolating sequences for the shift-invariant space generated by the Gaussian. As a consequence, we rederive the known density conditions for sampling and interpolation.

KW - Avdonin-type condition

KW - Interpolation

KW - Riesz bases

KW - Sampling

KW - Shift-invariant space

KW - Small Fock spaces

UR - http://www.scopus.com/inward/record.url?scp=85134231661&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e6231e36-51d6-3138-89fe-76c01da73f94/

U2 - 10.1016/j.acha.2022.07.001

DO - 10.1016/j.acha.2022.07.001

M3 - Article

AN - SCOPUS:85134231661

VL - 61

SP - 191

EP - 201

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

SN - 1063-5203

ER -

ID: 97909815