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<p>This work aims to present and study the concept of the Toeplitz operators linked to the generalized Wigner transform (GWT). Next, we will examine a particular class of these operators known as concentration operators. We prove that a finite vector space generated by the first eigenfunctions of such operators has a maximal time-frequency concentration within the region of interest. Then we will use it to approximate functions that are almost concentrated in such a region.</p>

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Jacobi-dunkl operator: wigner transform and toeplitz operators

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • Saifallah Ghobber,
  • Hatem Mejjaoli

摘要

This work aims to present and study the concept of the Toeplitz operators linked to the generalized Wigner transform (GWT). Next, we will examine a particular class of these operators known as concentration operators. We prove that a finite vector space generated by the first eigenfunctions of such operators has a maximal time-frequency concentration within the region of interest. Then we will use it to approximate functions that are almost concentrated in such a region.