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The beurling-malliavin multiplier theorem and its analogs for the de branges spaces. / Belov, Y.; Havin, V.

Operator Theory. Springer Nature, 2015. p. 581-607.

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Harvard

Belov, Y & Havin, V 2015, The beurling-malliavin multiplier theorem and its analogs for the de branges spaces. in Operator Theory. Springer Nature, pp. 581-607. https://doi.org/10.1007/978-3-0348-0667-1_2

APA

Belov, Y., & Havin, V. (2015). The beurling-malliavin multiplier theorem and its analogs for the de branges spaces. In Operator Theory (pp. 581-607). Springer Nature. https://doi.org/10.1007/978-3-0348-0667-1_2

Vancouver

Belov Y, Havin V. The beurling-malliavin multiplier theorem and its analogs for the de branges spaces. In Operator Theory. Springer Nature. 2015. p. 581-607 https://doi.org/10.1007/978-3-0348-0667-1_2

Author

Belov, Y. ; Havin, V. / The beurling-malliavin multiplier theorem and its analogs for the de branges spaces. Operator Theory. Springer Nature, 2015. pp. 581-607

BibTeX

@inbook{15bc2571537b4f1fb5ce0f0c055ced14,
title = "The beurling-malliavin multiplier theorem and its analogs for the de branges spaces",
abstract = "{\textcopyright} Springer Basel 2015. All rights are reserved. Let ω be a non-negative function on R. Is it true that there exists a non-zero f from a given space of entire functions X satisfying (a) |f|≤ω or (b) |f| = ω? The classical Beurling-MalliavinMultiplier Theorem corresponds to (a) and the classical Paley-Wiener space as X. This is a survey of recent results for the case when X is a de Branges space H.E/. Numerous answers mainly depend on the behavior of the phase function of the generating function E. For example, if argE is regular, then for any even positive ! non-increasing on [0;∞) with log! Ε L1((1 + x2/-1dx) there exists a non-zero f Ε H(E) such that |f| ≤ |E|ω. This is no longer true for the irregular case. The Toeplitz kernel approach to these problems is discussed. This method was recently developed by N. Makarov and A. Poltoratski.",
author = "Y. Belov and V. Havin",
year = "2015",
doi = "10.1007/978-3-0348-0667-1_2",
language = "English",
isbn = "9783034806671; 9783034806664",
pages = "581--607",
booktitle = "Operator Theory",
publisher = "Springer Nature",
address = "Germany",

}

RIS

TY - CHAP

T1 - The beurling-malliavin multiplier theorem and its analogs for the de branges spaces

AU - Belov, Y.

AU - Havin, V.

PY - 2015

Y1 - 2015

N2 - © Springer Basel 2015. All rights are reserved. Let ω be a non-negative function on R. Is it true that there exists a non-zero f from a given space of entire functions X satisfying (a) |f|≤ω or (b) |f| = ω? The classical Beurling-MalliavinMultiplier Theorem corresponds to (a) and the classical Paley-Wiener space as X. This is a survey of recent results for the case when X is a de Branges space H.E/. Numerous answers mainly depend on the behavior of the phase function of the generating function E. For example, if argE is regular, then for any even positive ! non-increasing on [0;∞) with log! Ε L1((1 + x2/-1dx) there exists a non-zero f Ε H(E) such that |f| ≤ |E|ω. This is no longer true for the irregular case. The Toeplitz kernel approach to these problems is discussed. This method was recently developed by N. Makarov and A. Poltoratski.

AB - © Springer Basel 2015. All rights are reserved. Let ω be a non-negative function on R. Is it true that there exists a non-zero f from a given space of entire functions X satisfying (a) |f|≤ω or (b) |f| = ω? The classical Beurling-MalliavinMultiplier Theorem corresponds to (a) and the classical Paley-Wiener space as X. This is a survey of recent results for the case when X is a de Branges space H.E/. Numerous answers mainly depend on the behavior of the phase function of the generating function E. For example, if argE is regular, then for any even positive ! non-increasing on [0;∞) with log! Ε L1((1 + x2/-1dx) there exists a non-zero f Ε H(E) such that |f| ≤ |E|ω. This is no longer true for the irregular case. The Toeplitz kernel approach to these problems is discussed. This method was recently developed by N. Makarov and A. Poltoratski.

U2 - 10.1007/978-3-0348-0667-1_2

DO - 10.1007/978-3-0348-0667-1_2

M3 - Chapter

SN - 9783034806671; 9783034806664

SP - 581

EP - 607

BT - Operator Theory

PB - Springer Nature

ER -

ID: 3988614