Almost Periodic Type Functions and Ergodicity

This book provides a comprehensive theory of almost periodic type functions with a large number of the applications to differential equations, functional equations and evolution equations. In addition, it also presents a basic theory on ergodicity and its applications in the theory of function spectrum, semi group of bounded linear operators and dynamical systems. It reflects new establishment of recent years in the field. This monograph is self-contained, the only prerequisite being a basic knowledge of functional analysis and ordinary differential equations. It is written for the mathematicians who wish to learn about the subject and is of interest to the specialists in the areas of abstract harmonic analysis, functional analysis, differential (functional) equations, dynamical system and ergodicity. It is also suitable as a textbook for graduates in Mathematical Analysis.