TABLE OF CONTENTS This is the appendix. The first section is a catalogue of mathematical theories. Mathematical notions stated there are referred to in this monograph several times, and the reader will be able to get them easily. Detailed proofs of theorems are mostly written in Rudin [17] and Folland [9]. The second section, on the other hand, provides with some references to the theme treated in this monograph.
Set of real numbers, denoted by R, is provided with algebraic calculus, order, and continuity, which distinguishes that of rational numbers, denoted by Q. Sets of integers and positive integers are denoted by Z and N, respectively. Given A ? R, we say that it is bounded from above or below if there is M ? R or m ? R such that any x ? A is in x ? M or x ? m, respectively. It is said to be bounded if it is bounded from above and below. Such M or m is called the upper or lower bound of A, respectively. If A is bounded from above or below, then its least upper bound or largest lower bound is called the supremum or infimum, respectively. Then, the axiom of Weierstrass says that any set bounded from above and below has the supremum and infimum, respectively. Given a sequence in R, denoted by a 1,
