Einar Hille

Analytic Function Theory, Volume I - AMS Chelsea Publishing Einar Hille Second edition

This famous work is a textbook that emphasises the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the “canonical” topics, and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorisation and on functions holomorphic in a half-plane.