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Abstract <p> In this paper, we establish a condition on the coefficients of differential operators generated in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_{2}(-\infty,\infty)\)</EquationSource> </InlineEquation> by an ordinary differential expression with periodic complex-valued coefficients under which the operator is a spectral operator. </p>

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On the Spectrality of Differential Operators with Periodic Coefficients

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • O. A. Veliev

摘要

Abstract

In this paper, we establish a condition on the coefficients of differential operators generated in \(L_{2}(-\infty,\infty)\) by an ordinary differential expression with periodic complex-valued coefficients under which the operator is a spectral operator.