Fractional thoughts

Understand

In this note we present some of the most basic aspects of the fractional Laplacean with a self-contained and purely didactic intent, and with a somewhat different slant from the several excellent existing references.

• Given the interest that nonlocal operators have generated since the 2007 extension paper of Caffarelli and Silvestre, we feel it is appropriate offering to young researchers a quick additional guide to the subject which, we hope, will nicely complement the existing ones.