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Synthesizable differentiation-invariant subspaces. / Baranov, Anton; Belov, Yurii.

In: Geometric and Functional Analysis, Vol. 29, No. 1, 02.2019, p. 44-71.

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

Harvard

Baranov, A & Belov, Y 2019, 'Synthesizable differentiation-invariant subspaces', Geometric and Functional Analysis, vol. 29, no. 1, pp. 44-71. https://doi.org/10.1007/s00039-019-00474-8

APA

Baranov, A., & Belov, Y. (2019). Synthesizable differentiation-invariant subspaces. Geometric and Functional Analysis, 29(1), 44-71. https://doi.org/10.1007/s00039-019-00474-8

Vancouver

Baranov A, Belov Y. Synthesizable differentiation-invariant subspaces. Geometric and Functional Analysis. 2019 Feb;29(1):44-71. https://doi.org/10.1007/s00039-019-00474-8

Author

Baranov, Anton ; Belov, Yurii. / Synthesizable differentiation-invariant subspaces. In: Geometric and Functional Analysis. 2019 ; Vol. 29, No. 1. pp. 44-71.

BibTeX

@article{a71ec8e3e36d4544a33801a2205ad0be,
title = "Synthesizable differentiation-invariant subspaces",
abstract = " We describe differentiation-invariant subspaces of C ∞ (a, b) which admit spectral synthesis. This gives a complete answer to a question posed by A. Aleman and B. Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line. We will depict an intriguing connection between these problems and the theory of de Branges spaces. ",
keywords = "SPECTRAL-SYNTHESIS, COMPLETENESS, ZEROS",
author = "Anton Baranov and Yurii Belov",
year = "2019",
month = feb,
doi = "10.1007/s00039-019-00474-8",
language = "English",
volume = "29",
pages = "44--71",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkh{\"a}user Verlag AG",
number = "1",

}

RIS

TY - JOUR

T1 - Synthesizable differentiation-invariant subspaces

AU - Baranov, Anton

AU - Belov, Yurii

PY - 2019/2

Y1 - 2019/2

N2 - We describe differentiation-invariant subspaces of C ∞ (a, b) which admit spectral synthesis. This gives a complete answer to a question posed by A. Aleman and B. Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line. We will depict an intriguing connection between these problems and the theory of de Branges spaces.

AB - We describe differentiation-invariant subspaces of C ∞ (a, b) which admit spectral synthesis. This gives a complete answer to a question posed by A. Aleman and B. Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line. We will depict an intriguing connection between these problems and the theory of de Branges spaces.

KW - SPECTRAL-SYNTHESIS

KW - COMPLETENESS

KW - ZEROS

UR - http://www.scopus.com/inward/record.url?scp=85062156140&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/synthesizable-differentiationinvariant-subspaces

U2 - 10.1007/s00039-019-00474-8

DO - 10.1007/s00039-019-00474-8

M3 - Article

AN - SCOPUS:85062156140

VL - 29

SP - 44

EP - 71

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

SN - 1016-443X

IS - 1

ER -

ID: 39817125