The sizes of the classes of H-(N)-sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283068" target="_blank" >RIV/00216208:11320/14:10283068 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/fm226-3-1" target="_blank" >http://dx.doi.org/10.4064/fm226-3-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/fm226-3-1" target="_blank" >10.4064/fm226-3-1</a>

Result language
angličtina
Original language name
The sizes of the classes of H-(N)-sets
Original language description
The class of H-(N)-sets forms an important subclass of the class of gets 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 is an element of N. To prove our result we also present a new description of H-(N)-sets.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0067" target="_blank" >GA201/09/0067: Theory of real functions and descriptive set theory II</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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