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<p>We define pseudo-differential operators with symbols and characterise Hilbert-Schmidt pseudo-differential operators on a second countable compact Hausdorff groupoid <i>G</i>. A characterisation of trace-class pseudo-differential operators and a trace formula is also provided.</p>

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Pseudo-differential operators on compact groupoids

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • K. N. Sridharan,
  • N. Shravan Kumar

摘要

We define pseudo-differential operators with symbols and characterise Hilbert-Schmidt pseudo-differential operators on a second countable compact Hausdorff groupoid G. A characterisation of trace-class pseudo-differential operators and a trace formula is also provided.