FUNCTION THEORY FOR A BELTRAMI ALGEBRA

ABSTRACT. Complex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function. The functions associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair (D,g) and a function theory is developed in this algebra. A strong conformality property holds for all functions in a (D,g) algebra. For g _--]z] r the algebra (D,r) is that of the analytic func ions