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<p>We establish necessary and sufficient conditions for the global hypoellipticity of <i>G</i>-invariant operators on homogeneous vector bundles. These criteria are established in terms of the corresponding matrix-valued symbols as developed by Ruzhansky and Turunen and extended in (Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds, <a href="http://arxiv.org/abs/2403.08990">arXiv:2403.08990</a>) to homogeneous vector bundles.</p>

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Global hypoellipticity of G-invariant operators on homogeneous vector bundles

  • 期刊论文

  • 发表日期：

    2025年2月17日

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  • Duván Cardona,
  • André Pedroso Kowacs

摘要

We establish necessary and sufficient conditions for the global hypoellipticity of G-invariant operators on homogeneous vector bundles. These criteria are established in terms of the corresponding matrix-valued symbols as developed by Ruzhansky and Turunen and extended in (Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds, arXiv:2403.08990) to homogeneous vector bundles.