GEOMETRY AND ITERATION OF DIANALYTIC TRANSFORMATION (GEOMETRY AND ITERATION OF DIANALYTIC TRANSFORMATION)

This paper is a continuation of the paper (5) dealing with dynamics of dianalytic transformations of nonorientable Klein surfaces. We are examining mainly the transformations of the real projective plane P 2 , whose orientable double cover is the Riemann sphere C. It is shown that the automorphisms of P 2 are projections of the rotations of C and some of the other dianalytic transformations of P 2 are projections of Blaschke products.