Spectral Theory of Linear Operators

Abstract

In this chapter we examine the spectral properties of operators commonly encountered in electromagnetics. We emphasize the role of eigenvalues and eigenfunctions in spectral theory since these quantities play an important role in many applications, as both mathematical and physical entities. The primary goal of this chapter is to present elements from the spectral theory of operators on infinite-dimensional spaces. Operators on finitedimensional spaces and their associated matrix representations are also briefly covered, as this material forms an appropriate starting point for discussion.