Geodesic
A Remark on Integration of Almost-Periodic Functions
Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 249-251

Voir la notice de l'article provenant de la source Cambridge University Press

A result proved by Favard for scalar-valued almost-periodic functions has an immediate extension to Banach space valued functions (see [2] and [3] for explicit details).The result says that integrals of almost-periodic functions whose 'spectrum' is at positive distance from 0 are again almost-periodic. Our aim here is to indicate a more general formulation of this result using strongly almost-periodic oneparameter groups of operators in Banach spaces. 
Zaidman, S. A Remark on Integration of Almost-Periodic Functions. Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 249-251. doi: 10.4153/CMB-1970-050-3
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[1] 1. Bochner, S., Abstrakte Fast-periodische Funktionen, Acta Math., 1933. Google Scholar

[2] 2. Levitan, B. M., Almost-periodic functions, (Russian), Moscow, 1953. Google Scholar

[3] 3. Zaidman, S., Solutions presque-périodiques des équations hyperboliques, Ann. Sci. école Norm. Sup., Paris, 1962. Google Scholar

[4] 4. Zaidman, S., Sur la perturbation presque-périodique des groupes et semi-groupes de transformations d'un espace de Banach, Rend. Mat. e Appl., Rome, 1957. Google Scholar

[5] 5. Gunzler, H. and Zaidman, S., Almost-periodic solutions of a certain abstract differential equation, J. Math. Mech., 1969. Google Scholar

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