Towards F-transform of a Higher Degree

The aim of this contribution is to show how the F- transform technique can be generalized from the case of constant components to the case of polynomial components. For this purpose, we choose complete functional spaces with inner products. After a general presentation of F m -transform where m ≥ 0, a detailed characterization of the F 1 -transform is given. We applied a tech- nique of numeric integration in order to simplify computation of F 1 - transform components. The inverse F m -transform, m ≥ 0, is de- fined in the same way as the ordinary F-transform.