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<p>We study the Besselian and Hilbertian properties of the orbits of dual integrable unitary representations on locally compact groups. We prove that even on this level of generality the properties are described in terms of the bracket function, i.e., the generalization of the periodization function related to the integer-translates action on a square-integrable function.</p>

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(B) and (H) Property on Locally Compact Groups

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • Tomislav Berić,
  • Hrvoje Šikić,
  • Ivana Slamić

摘要

We study the Besselian and Hilbertian properties of the orbits of dual integrable unitary representations on locally compact groups. We prove that even on this level of generality the properties are described in terms of the bracket function, i.e., the generalization of the periodization function related to the integer-translates action on a square-integrable function.