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Several mathematicians have studied Szego-type limits of sequences of finite rank operators arising from compressions of infinite-dimensional operators on separable Hilbert spaces. A group of signal analysts looked at a related problem by comparing their asymptotic eigenvalue distribution. In this short article, we address the relationship between these two problems.

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On the Asymptotic Eigenvalue Distribution of Matrices

  • 会议论文

  • 发表日期：

    2025年

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  • Kalyan B. Sinha,
  • M. N. N. Namboodiri

摘要

Several mathematicians have studied Szego-type limits of sequences of finite rank operators arising from compressions of infinite-dimensional operators on separable Hilbert spaces. A group of signal analysts looked at a related problem by comparing their asymptotic eigenvalue distribution. In this short article, we address the relationship between these two problems.