Almost Periodic and Almost Automorphic Functions in Abstract Spaces

• 1. Introduction and Preliminaries.- 2. Almost Automorphic Functions.- 3. Almost Automorphy of the Function f(t,x).- 4. Differentiation and Integration.- 5. Pseudo Almost Automorphy.- 6. Stepanov-like Almost Automorphic Functions.- 7. Dynamical Systems and C0-Semigroups.- 8. Almost Periodic Functions with Values in a Locally Convex Space.- 9. Almost Period Functions with Values in a Non-Locally Convex Space.- 10. The Equation x'(t)=A(t)x(t)+f(t).- 11. Almost Periodic Solutions of the Differential Equation in Locally Convex Spaces.- Bibliography.

“This book is a nice text for those interested in the topics of almost automorphy in abstract spaces and almost periodicity in locally and non-locally convex spaces. … The author, a noted specialist in the area, develops, with examples and applications, these new concepts and results, which are now receiving the attention of an increasing number of researchers. Thus the book will serve as a good reference for specialists in this subject.” (Mohamed Zitane, zbMATH 1479.43001, 2022)