<p>We study function spaces arising from Fourier–Bessel harmonic analysis, with particular emphasis on modulation spaces.Based on mixed-norm spaces and the short-time Fourier–Bessel transform, we define a&#xa0;class of modulation spaces.We establish their basic properties and prove several embedding theorems.</p>

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Analysis of Function Spaces Using the Fourier–Bessel Transform: Focus on Modulation Spaces

  • B. Selmi,
  • O. Chouaya

摘要

We study function spaces arising from Fourier–Bessel harmonic analysis, with particular emphasis on modulation spaces.Based on mixed-norm spaces and the short-time Fourier–Bessel transform, we define a class of modulation spaces.We establish their basic properties and prove several embedding theorems.