Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius

L. Aizenberg, E. Liflyand, and A. Vidras. "Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius." Annales Polonici Mathematici 80.1 (2003): 47-54. <http://eudml.org/doc/280973>.

@article{L2003,
abstract = {We present a multidimensional analogue of an inequality by van der Corput-Visser concerning the coefficients of a real trigonometric polynomial. As an application, we obtain an improved estimate from below of the Bohr radius for the hypercone 𝓓₁ⁿ = \{z ∈ ℂⁿ: |z₁|+. .. +|zₙ| < 1\} when 3 ≤ n ≤ 10.},
author = {L. Aizenberg, E. Liflyand, A. Vidras},
journal = {Annales Polonici Mathematici},
keywords = {power series; van der Corput-Visser inequality; radius of the convergence},
language = {eng},
number = {1},
pages = {47-54},
title = {Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius},
url = {http://eudml.org/doc/280973},
volume = {80},
year = {2003},
}

TY - JOUR
AU - L. Aizenberg
AU - E. Liflyand
AU - A. Vidras
TI - Multidimensional analogue of the van der Corput-Visser inequality and its application to the estimation of the Bohr radius
JO - Annales Polonici Mathematici
PY - 2003
VL - 80
IS - 1
SP - 47
EP - 54
AB - We present a multidimensional analogue of an inequality by van der Corput-Visser concerning the coefficients of a real trigonometric polynomial. As an application, we obtain an improved estimate from below of the Bohr radius for the hypercone 𝓓₁ⁿ = {z ∈ ℂⁿ: |z₁|+. .. +|zₙ| < 1} when 3 ≤ n ≤ 10.
LA - eng
KW - power series; van der Corput-Visser inequality; radius of the convergence
UR - http://eudml.org/doc/280973
ER -