Revision of Complex Analysis

This material is a set of slides that contain a summary of results from Complex Analysis. The slides have been used in the course Linear Chaos, taught at the University of Innsbruck (in the Academic Year 2025/26) by Christian Bargetz and myself. These notes should not be understood as an introduction to Complex Analysis, nor as a summary of the most important results. A few proofs are sketched, mostly in a rather terse way, only to remind the reader of the main points of an argument.