The finite Hankel transform operator: Some explicit and local estimates of the eigenfunctions and eigenvalues decay rates

Mourad Boulsane, Abderrazek Karoui

For fixed real numbers $c>0,$ $\alpha >-\frac{1}{2},$ the finite Hankel transform operator, denoted by ${\mathcal{H}}_c^{\alpha }$ is given by the integral operator defined on $L^2(0,1)$ with kern…