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@article{1340986,
author = {Veselý, Michal and Hasil, Petr},
article_number = {1},
doi = {http://dx.doi.org/10.1515/ms-2015-0114},
keywords = {limit periodic sequences; limit periodic functions; almost periodicity; asymptotic almost periodicity},
language = {eng},
issn = {0139-9918},
journal = {Mathematica Slovaca},
title = {Values of limit periodic sequences and functions},
volume = {66},
year = {2016}
}
TY - JOUR
ID - 1340986
AU - Veselý, Michal - Hasil, Petr
PY - 2016
TI - Values of limit periodic sequences and functions
JF - Mathematica Slovaca
VL - 66
IS - 1
SP - 43-62
EP - 43-62
SN - 01399918
KW - limit periodic sequences
KW - limit periodic functions
KW - almost periodicity
KW - asymptotic almost periodicity
N2 - We consider limit periodic sequences and functions with values in pseudometric spaces. We construct limit periodic sequences and functions with given values. For any totally bounded countable set, we find a limit periodic sequence which attains each value from this set periodically. A corresponding result concerning such a construction of limit periodic functions is proved as well. For any totally bounded countable set which is dense in itself, we construct a limit periodic bijective map from the integers into this set. As corollaries, we obtain new results about non-almost periodic solutions of almost periodic transformable difference systems.
ER -
VESELÝ, Michal a Petr HASIL. Values of limit periodic sequences and functions. \textit{Mathematica Slovaca}. 2016, roč.~66, č.~1, s.~43-62. ISSN~0139-9918. Dostupné z: https://dx.doi.org/10.1515/ms-2015-0114.
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