Generalization of Fourier Transform and Weyl Calculus

Abstract

In this paper, a surjective morphism of the topological groups from the real line R to the p -curve Cp is introduced, this function maps from the real line to the p -curve on the complex and when p = 2 then coincide with a classical exponent. The properties of p -Fourier transform is studied. The generalization of the Weyl functional calculus is considered.