The kernel function and conformal mapping

Аннотация

The purpose of this survey is to present a number of methods and principles which are of wide applicability in such branches of analysis as function theory, partial differential equations, differential geometry, etc. The underlying idea is to consider linear classes of functions in which a norm can be introduced and the notion of orthogonality defined. While there is a large degree of arbitrariness in the choice of the norm, there exist in each individual case certain natural norms which are distinguished by geometrical or physical properties.