The sizes of the classes of $H^{\left(N\right)}$-sets

Václav Vlasák. "The sizes of the classes of $H^{(N)}$-sets." Fundamenta Mathematicae 226.3 (2014): 201-220. <http://eudml.org/doc/283168>.

@article{VáclavVlasák2014,
abstract = {The class of $H^\{(N)\}$-sets forms an important subclass of the class of sets of uniqueness for trigonometric series. We investigate the size of this class which is reflected by the family of measures (called polar) annihilating all sets from the class. The main aim of this paper is to answer in the negative a question stated by Lyons, whether the polars of the classes of $H^\{(N)\}$-sets are the same for all N ∈ ℕ. To prove our result we also present a new description of $H^\{(N)\}$-sets.},
author = {Václav Vlasák},
journal = {Fundamenta Mathematicae},
keywords = {sets of uniqueness; polar;  sets},
language = {eng},
number = {3},
pages = {201-220},
title = {The sizes of the classes of $H^\{(N)\}$-sets},
url = {http://eudml.org/doc/283168},
volume = {226},
year = {2014},
}

TY - JOUR
AU - Václav Vlasák
TI - The sizes of the classes of $H^{(N)}$-sets
JO - Fundamenta Mathematicae
PY - 2014
VL - 226
IS - 3
SP - 201
EP - 220
AB - The class of $H^{(N)}$-sets forms an important subclass of the class of sets of uniqueness for trigonometric series. We investigate the size of this class which is reflected by the family of measures (called polar) annihilating all sets from the class. The main aim of this paper is to answer in the negative a question stated by Lyons, whether the polars of the classes of $H^{(N)}$-sets are the same for all N ∈ ℕ. To prove our result we also present a new description of $H^{(N)}$-sets.
LA - eng
KW - sets of uniqueness; polar;  sets
UR - http://eudml.org/doc/283168
ER -