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Abstract <p>The paper discusses the question of the existence of universal functions whose Fourier series in the Walsh system are conditionally universal in the sense of permutations in all weighted spaces <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7212_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{\mu}^{p}[0,1]\)</EquationSource> <!--ContMath2570001Sargsyan-m1--> </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7212_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\geq 1\)</EquationSource> <!--ContMath2570001Sargsyan-m2--> </InlineEquation>.</p>

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On Universal Fourier–Walsh Series

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月1日

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  • A. A. Sargsyan

摘要

Abstract

The paper discusses the question of the existence of universal functions whose Fourier series in the Walsh system are conditionally universal in the sense of permutations in all weighted spaces \(L_{\mu}^{p}[0,1]\) , \(p\geq 1\) .