The Kernel Function and Conformal Mapping

H. G. Eggleston, Stefan Bergman

The Mathematical Gazette · 1951 · 522 citations · 0 references

Concepts

Abstract

Orthogonal functions The kernel function and associated minimum problems The invariant metric and the method of the minimum integral Kernel functions and Hilbert space Representation of the classical domain functions Canonical conformal transformations Orthogonalization over the boundary Variational methods Existence proofs Partial differential equations Functions of two complex variables and pseudoconformal mapping Generalization of potential-theoretical methods and certain subclasses of functions Bibliography Index.