In the present paper we
investigate the condition whether the bounded domain B of C2 is a pseudo-conformal
image of a circular domain, say C. Under the assumption that this is the case and
that the invariant JB(z1,z2;z1,z2) is not a constant, we characterize the center of a
circular domain. This characterization is invariant with respect to pseudoconformal
transformations. Assuming that B is a pseudoconformal image of a circular
domain C and that there is in B one and only one point, say (t1,t2) which
satisfies the conditions mentioned above, we determine the representative
R(B;t1,t2) of B. If B is a pseudo-conformal image of a circular domain
C and (t1,t2) is the image in B of the center of C, then the representive
R(B;t1,t2) is a circular domain. The pair of functions v10,v01 mapping B
onto R(B;t1,t2) can be written explicitly in terms of the kernel function of
B.
