ABSTRACT
This chapter reviews the basic definitions and theorems that form a general mathematical framework for discUBSing the orthogonality of a sequence of real polynomials. This makes the book somewhat more self-contained and perhaps more helpful to readers who are not familiar with some of the basic material about orthogonal polynomials. The important theorem of Favard, which is the theoretical basis for orthogonality proofs in this work, is included. There is also a simple proof that a primary sequence is not orthogonal, as well as a formula that expresses a polynomial in an orthogonal sequence as a determinant involving the moments of that sequence.
