Cantor Uniqueness And Multiplicity Along Subsequences

G. Kozma; A. Olevski˘

doi:10.1090/spmj/1647

Cantor Uniqueness And Multiplicity Along Subsequences

G. Kozma^*, A. Olevski˘

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a sequence (Formula Presented) such that the trigonometric series (Formula Presented) converges to zero everywhere on a subsequence n_k. We show, for any such series, that the n_k must be very sparse, and that the support of the related distribution must be quite large.

Original language	English
Pages (from-to)	261-277
Number of pages	17
Journal	St. Petersburg Mathematical Journal
Volume	32
Issue number	2
DOIs	https://doi.org/10.1090/spmj/1647
State	Published - Jan 2021

Keywords

Trigonometric series
localization principle
uniqueness

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10.1090/spmj/1647

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title = "Cantor Uniqueness And Multiplicity Along Subsequences",

abstract = "We construct a sequence (Formula Presented) such that the trigonometric series (Formula Presented) converges to zero everywhere on a subsequence nk. We show, for any such series, that the nk must be very sparse, and that the support of the related distribution must be quite large.",

keywords = "Trigonometric series, localization principle, uniqueness",

author = "G. Kozma and A. Olevski˘",

note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society",

year = "2021",

month = jan,

doi = "10.1090/spmj/1647",

language = "אנגלית",

volume = "32",

pages = "261--277",

journal = "St. Petersburg Mathematical Journal",

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T1 - Cantor Uniqueness And Multiplicity Along Subsequences

AU - Kozma, G.

AU - Olevski˘, A.

PY - 2021/1

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N2 - We construct a sequence (Formula Presented) such that the trigonometric series (Formula Presented) converges to zero everywhere on a subsequence nk. We show, for any such series, that the nk must be very sparse, and that the support of the related distribution must be quite large.

AB - We construct a sequence (Formula Presented) such that the trigonometric series (Formula Presented) converges to zero everywhere on a subsequence nk. We show, for any such series, that the nk must be very sparse, and that the support of the related distribution must be quite large.

KW - Trigonometric series

KW - localization principle

KW - uniqueness

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U2 - 10.1090/spmj/1647

DO - 10.1090/spmj/1647

M3 - מאמר

AN - SCOPUS:85102837142

VL - 32

SP - 261

EP - 277

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

Cantor Uniqueness And Multiplicity Along Subsequences

Abstract

Keywords

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