Overview
Discusses basic properties of almost automorphic functions in Banach spaces and their generalizations
Presents open problems for almost periodicity in nonlocally convex spaces
Examines the interplay between almost automorphy and almost periodicity
Contains a rich and up-to-date bibliography
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001.
This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated.As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.
Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Almost Periodic and Almost Automorphic Functions in Abstract Spaces
Authors: Gaston M. N'Guérékata
DOI: https://doi.org/10.1007/978-3-030-73718-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-73717-7Published: 29 May 2021
Softcover ISBN: 978-3-030-73720-7Published: 30 May 2022
eBook ISBN: 978-3-030-73718-4Published: 28 May 2021
Edition Number: 2
Number of Pages: XII, 134
Topics: Analysis, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Difference and Functional Equations, Integral Equations