# An observation on the Turán-Nazarov inequality

Studia Mathematica (2013)

- Volume: 218, Issue: 1, page 27-39
- ISSN: 0039-3223

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topOmer Friedland, and Yosef Yomdin. "An observation on the Turán-Nazarov inequality." Studia Mathematica 218.1 (2013): 27-39. <http://eudml.org/doc/286087>.

@article{OmerFriedland2013,

abstract = {The main observation of this note is that the Lebesgue measure μ in the Turán-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant ω ≥ μ, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets. While the frequencies (the imaginary parts of the exponents) do not enter the original Turán-Nazarov inequality, they necessarily enter the definition of ω.},

author = {Omer Friedland, Yosef Yomdin},

journal = {Studia Mathematica},

keywords = {metric entropy; Turán-Nazarov inequality},

language = {eng},

number = {1},

pages = {27-39},

title = {An observation on the Turán-Nazarov inequality},

url = {http://eudml.org/doc/286087},

volume = {218},

year = {2013},

}

TY - JOUR

AU - Omer Friedland

AU - Yosef Yomdin

TI - An observation on the Turán-Nazarov inequality

JO - Studia Mathematica

PY - 2013

VL - 218

IS - 1

SP - 27

EP - 39

AB - The main observation of this note is that the Lebesgue measure μ in the Turán-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant ω ≥ μ, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets. While the frequencies (the imaginary parts of the exponents) do not enter the original Turán-Nazarov inequality, they necessarily enter the definition of ω.

LA - eng

KW - metric entropy; Turán-Nazarov inequality

UR - http://eudml.org/doc/286087

ER -

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