? Extensive discussions of the work performed and the achievements made in the field of the time operator ? Unification of the formalism for irreversible dynamical processes ? Pedagogical given the intended level (i.e. incorporation of chapter introductions, summaries, and exercises) ? Novel treatments of unique topics/results such as Haar, Faber-Schauder basis, and Markov or self similar processes ? Emphasis on mathematical physics and its impact on related fields such as engineering, statistics, applied mathematics, and operational research