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Abstract <p> For some families of subsystems of the trigonometric function system <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3013_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="123" /> </InlineMediaObject> <EquationSource Format="TEX">\(\{\exp(2\pi i n x)\}_{n \in \mathbb{Z}}\)</EquationSource> </InlineEquation>, we find sufficient conditions for a set to be a uniqueness set for a given subsystem. </p>

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Sets of Uniqueness for Subsystems of the Trigonometric System

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • A. D. Kazakova,
  • M. G. Plotnikov

摘要

Abstract

For some families of subsystems of the trigonometric function system \(\{\exp(2\pi i n x)\}_{n \in \mathbb{Z}}\) , we find sufficient conditions for a set to be a uniqueness set for a given subsystem.