Almost-Periodic Functions and Functional Equations

L. Amerio, G. Prouse (Autoren)

Buch | Softcover

184 Seiten

2013 | Softcover reprint of the original 1st ed. 1971
Springer-Verlag New York Inc.
978-1-4757-1256-8 (ISBN)

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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.

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.

Reihe/Serie	The university series in higher mathematics
Zusatzinfo	VIII, 184 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis
ISBN-10	1-4757-1256-1 / 1475712561
ISBN-13	978-1-4757-1256-8 / 9781475712568
Zustand	Neuware