A Remark on Integration of Almost-Periodic Functions
Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 249-251
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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
@article{10_4153_CMB_1970_050_3,
author = {Zaidman, S.},
title = {A {Remark} on {Integration} of {Almost-Periodic} {Functions}},
journal = {Canadian mathematical bulletin},
pages = {249--251},
year = {1970},
volume = {13},
number = {2},
doi = {10.4153/CMB-1970-050-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-050-3/}
}
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