DETERMINING DISCRETE SYMMETRIES OF DIFFERENTIAL-EQUATIONS

We propose a method to determine a special class of discrete symmetrie s - which we call quantized - of differential equations, based on the solution of a linear functional equation. By the same method, we can d etermine differential equations possessing a given quantized symmetry by solving a Linear (standard, i.e. non-functional) PDE. Geometrical m otivation and interpretation are also given, together with simple but physically significant examples.