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<p>In this paper, we consider the spectral property of symmetric additive measure of Lebesgue type supported on two intervals in the plane. We give a sufficient condition for the spectral property of symmetric additive measure of Lebesgue type supported on two unparallel intervals. Further, we characterise the spectral property of symmetric additive measure of Lebesgue type supported on two parallel intervals.</p>

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Spectral properties of symmetric additive measures of Lebesgue type in the plane

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Zong-Sheng Liu,
  • Zheng-Yi Lu

摘要

In this paper, we consider the spectral property of symmetric additive measure of Lebesgue type supported on two intervals in the plane. We give a sufficient condition for the spectral property of symmetric additive measure of Lebesgue type supported on two unparallel intervals. Further, we characterise the spectral property of symmetric additive measure of Lebesgue type supported on two parallel intervals.