ISBN-13: 9781475712568 / Angielski / Miękka / 2013 / 184 str.
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.