
Almost-Periodic Functions and Functional Equations
Published on 4. June 2013
Book
Paperback/Softback
VIII, 184 pages
978-1-4757-1256-8 (ISBN)
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1971
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
VIII, 184 p.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 11 mm
Weight
293 gr
ISBN-13
978-1-4757-1256-8 (9781475712568)
DOI
10.1007/978-1-4757-1254-4
Schweitzer Classification
Other editions
Additional editions
L. Amerio | G. Prouse
Almost-Periodic Functions and Functional Equations
Book
01/1971
Springer
€89.13
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Content
Theory of Almost-Periodic Functions.- Almost-Periodic Functions in Banach Spaces.- Harmonic Analysis of Almost-Periodic Functions.- Weakly Almost-Periodic Functions.- The Integration of Almost-Periodic Functions.- Applications to Almost-Periodic Functional Equations.- The Wave Equation.- The Schrödinger Type Equation.- The Wave Equation with Nonlinear Dissipative Term.- Results Regarding other Functional Equations.