Mathematical Foundations for Electromagnetic Theory

This thought-provoking book provides the mathematical foundations for the study of advanced topics in electromagnetic theory. It includes in-depth coverage of linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. Key features include an introduction to modern linear analysis and linear operators; solutions to Sturm-Liouville problems using Green's functions and spectral expansions; natural transforms and series expansions specific to a wide range of differential operators and associated boundary conditions; useful alternative representations for canonical electromagnetic sources; and applications to electromagnetic boundary value problems. The book will be of particular interest to graduate-level students in engineering, electromagnetics, physics, and applied mathematics, as well as research engineers, physicist, and scientists.