Almost-Periodic Functions and Functional Equations (The university series in higher mathematics) - Hardcover

Amerio & Prouse

Hardcover

ISBN 10: 0387901191 ISBN 13: 9780387901190

Publisher: Van Nostrand NJ, 1971

Synopsis

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.

Edition details

• Publisher: Van Nostrand NJ
• Publication date: 1971
• ISBN 10: 0387901191
• ISBN 13: 9780387901190
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 184