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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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