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<p>We study several spectral sets of Hausdorff operators on Fock spaces of entire functions. We show that the Hausdorff operators can be expressed via the Hille-Phillips functional calculus of an operator semigroup, and we compute the different spectral sets of the Hausdorff operators from those of the infinitesimal generator of the semigroup by means of spectral mapping theorems.</p>

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Spectral Properties of Hausdorff Operators on Fock Spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月15日

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  • Luciano Abadias,
  • Jaime Arto

摘要

We study several spectral sets of Hausdorff operators on Fock spaces of entire functions. We show that the Hausdorff operators can be expressed via the Hille-Phillips functional calculus of an operator semigroup, and we compute the different spectral sets of the Hausdorff operators from those of the infinitesimal generator of the semigroup by means of spectral mapping theorems.