The Generalization of the Decomposition of Functions by Energy operators (Part II) and some Applications

J. P. Montillet

This work introduces the families of generalized energy operators $([[.{]}^p{]}_k^{+}{)}_{k\in \mathbb{Z}}$ and $([[.{]}^p{]}_k^{-}{)}_{k\in \mathbb{Z}}$ ($p$ in ${\mathbb{Z}}^{+}$). One shows that with…