Prolate spheroidal wave functions associated with the canonical Fourier-Bessel transform and uncertainty principles

The aim of this paper is to establish an extension of the prolate spheroidal wave functions which is the eigenfunction of the finite Bessel type of linear canonical transform (LCT) so-called finite canonical Fourier-Bessel transform. We study the concentration problem, uncertainty principles about the essential supports, and signal recovery related to the canonical Fourier-Bessel transform on the space of band-limited functions.

Automated summary

The purpose of this paper is to establish an extension of the prolate spheroidal wave functions as the eigenfunction of the finite canonical Fourier-Bessel transform. We examine the concentration problem, uncertainty principles regarding the essential supports, and signal recovery associated with the canonical Fourier-Bessel transform in the space of band-limited functions.