Author: Paul Lawrence IrwinPublisher:
ISBN:
Category : Almost periodic functions
Languages : en
Pages : 162
Book Description
Weakly Almost Periodic Vector-valued Functions
Author: Paul Lawrence IrwinPublisher:
ISBN:
Category : Almost periodic functions
Languages : en
Pages : 162
Book Description
Weakly almost periodic vector-valued functions
Author: Seymour GoldbergSome Problems Concerning Different Types of Vector Valued Almost Periodic Functions
Author: Bolis BasitPublisher:
ISBN:
Category : Almost periodic functions
Languages : en
Pages : 36
Book Description
Almost Automorphic and Almost Periodic Functions in Abstract Spaces
Author: Gaston M. N'GuérékataPublisher: Springer Science & Business Media
ISBN: 147574482X
Category : Mathematics
Languages : en
Pages : 143
Book Description
Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using classical methods of functional analysis.
Integration of Asymptotically Almost Periodic Functions and Weak Asymptotic Almost Periodicity
Author: W. M. RuessPublisher:
ISBN:
Category : Almost periodic functions
Languages : en
Pages : 50
Book Description
Almost Periodic Type Functions and Ergodicity
Author: Zhang ChuanyiPublisher: Springer Science & Business Media
ISBN: 9781402011580
Category : Mathematics
Languages : en
Pages : 372
Book Description
The theory of almost periodic functions was first developed by the Danish mathematician H. Bohr during 1925-1926. Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. V. Stepanov, N. N. Bogolyubov, and oth ers. Generalization of the classical theory of almost periodic functions has been taken in several directions. One direction is the broader study of functions of almost periodic type. Related this is the study of ergodic ity. It shows that the ergodicity plays an important part in the theories of function spectrum, semigroup of bounded linear operators, and dynamical systems. The purpose of this book is to develop a theory of almost pe riodic type functions and ergodicity with applications-in particular, to our interest-in the theory of differential equations, functional differen tial equations and abstract evolution equations. The author selects these topics because there have been many (excellent) books on almost periodic functions and relatively, few books on almost periodic type and ergodicity. The author also wishes to reflect new results in the book during recent years. The book consists of four chapters. In the first chapter, we present a basic theory of four almost periodic type functions. Section 1. 1 is about almost periodic functions. To make the reader easily learn the almost periodicity, we first discuss it in scalar case. After studying a classical theory for this case, we generalize it to finite dimensional vector-valued case, and finally, to Banach-valued (including Hilbert-valued) situation.
Almost-periodic Functions in Abstract Spaces
Author: Samuel ZaidmanPublisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 148
Book Description
This research not presents recent results in the field of almost-periodicity. The emphasis is on the study of vector-valued almost-periodic functions and related classes, such as asymptotically almost-periodic or almost-automorphic functions. Many examples are given, and applications are indicated. The first three chapters form a self-contained introduction to the study of continuity, derivability and integration in locally convex or Banach spaces. The remainder of the book is devoted to almost-periodicity and related topics. The functions are defined on IR, IR[superscript n] or an abstract group; the range is a Banach or a Hilbert space. Although treatment of the material related to pure mathematics, the theory has many applications in the area of abstract differential equations.
Vector-valued Means and Their Applications in Some Vector-valued Function Spaces
Author: Chuanyi ZhangPublisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 44
Book Description
Compact Semitopological Semigroups and Weakly Almost Periodic Functions
Author: J. F. BerglundPublisher: Springer
ISBN: 3540351841
Category : Mathematics
Languages : en
Pages : 166
Book Description
Almost-Periodic Functions and Functional Equations
Author: L. AmerioPublisher: Springer Science & Business Media
ISBN: 1475712545
Category : Mathematics
Languages : en
Pages : 191
Book Description
The theory of almost-periodic functions with complex values, created by H. Bohr [1] in his two classical papers published in Acta Mathematica in 1925 and 1926, has been developed by many authors and has had note worthy applications: we recall the works of Weyl, De la Vallee Poussin, Bochner, Stepanov, Wiener, Besicovic, Favard, Delsarte, Maak, Bogoliu bov, Levitan. This subject has been widely treated in the monographs by Bohr [2], Favard [1], Besicovic [1], Maak [1], Levitan [1], Cinquini [1], Corduneanu [1], [2]. An important class of almost-periodic functions was studied at the beginning of the century by Bohl and Esclangon. Bohr's theory has been extended by Muckenhoupt [1] in a particular case and, subsequently, by Bochner [1] and by Bochner and Von Neumann [1] to very general abstract spaces. The extension to Banach spaces is, in particular, of great interest, in view of the fundamental importance of these spaces in theory and application.