Cantor uniqueness and multiplicity along subsequences

Autor:	A. Olevskiĭ, G. Kozma
Rok vydání:	2021
Předmět:	Pure mathematics Algebra and Number Theory Mathematics - Classical Analysis and ODEs Applied Mathematics Classical Analysis and ODEs (math.CA) FOS: Mathematics Multiplicity (mathematics) Uniqueness Analysis Mathematics Trigonometric series
Zdroj:	St. Petersburg Mathematical Journal. 32:261-277
ISSN:	1547-7371 1061-0022
DOI:	10.1090/spmj/1647
Popis:	We construct a trigonometric series converging to zero everywhere on a subsequence, with coefficients tending to zero. We show that any such series must satisfy that the subsequence is very sparse, and that the support of the related distribution is quite large. 23 pages. New version has small improvements to presentation and references. To appear in Algebra and Analysis
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d835c3de836a8621e4d0d15962e3871 https://doi.org/10.1090/spmj/1647 Zobrazit plný text záznamu