Hi Stephane,
A very good explanation of deconvolution is available in "The Handbook of Astronomical Imaging" (HAIP), which is supplied with the excellent AIP4WIN program.
Although it is easy, and fair, to say that PixInsight is FAR more comprehensive than AIP4WIN, it is also fair to say that HAIP provides a thorough, detailed, yet easy to follow, explanation into all of the mathematical theory behind what astro-imagers are trying to achieve.
I reckon that AIP4WIN / HAIP should be in every serious astro-imager's inventory, right alongside PixInsight and their membership of this Forum

HTH