Critical Points, the Gauss Curvature Equation and Blaschke Products
Critical Points, the Gauss Curvature Equation and Blaschke Products
In this survey paper we discuss the problem of characterizing the critical sets of bounded analytic functions in the unit disk of the complex plane. This problem is closely related to the Berger–Nirenberg problem in differential geometry as well as to the problem of describing the zero sets of functions …