Scholarlink

Abstract <p>The present paper considers matrix <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7210_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{L}\)</EquationSource> <!--ContMath2470042Kirakosyan-m3--> </InlineEquation>-Wiener–Hopf operators generated by a reflectionless potential and acting in Lebesgue spaces with Muckenhoupt weight. These operators are defined by replacing the Fourier transform in the standard definition of the Wiener–Hopf operator with the spectral transform of the Sturm–Liouville operator with a reflectionless potential. The criteria for the Fredholm property and a formula for the index in the case of a piecewise continuous symbol are obtained.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the Matrix \(\mathcal{L}\)-Wiener–Hopf Operators in the Case of Reflectionless Potential

  • 期刊论文

  • 发表日期：

    2025年2月1日

查看全文
  • G. A. Kirakosyan

摘要

Abstract

The present paper considers matrix \(\mathcal{L}\) -Wiener–Hopf operators generated by a reflectionless potential and acting in Lebesgue spaces with Muckenhoupt weight. These operators are defined by replacing the Fourier transform in the standard definition of the Wiener–Hopf operator with the spectral transform of the Sturm–Liouville operator with a reflectionless potential. The criteria for the Fredholm property and a formula for the index in the case of a piecewise continuous symbol are obtained.