caa a22 4500 605522499 CHVBK 20210128100745.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2410-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2410-9 Zhuravlev V. Vladimir State University, Vladimir, Russia aut Bounded Remainder Sets on a Double Covering of the Klein Bottle [Elektronische Daten] [V. Zhuravlev] A shift S ˜ : K ˜ 2 → K ˜ 2 $$ \tilde{\mathbb{S}}\kern0.5em :\kern0.5em {\tilde{\mathbb{K}}}^2\to {\tilde{\mathbb{K}}}^2 $$ on the double covering of the Klein bottle K ˜ 2 = K 2 × ± 1 $$ {\tilde{\mathbb{K}}}^2={\mathbb{K}}^2\times \left\{\pm 1\right\} $$ is considered. This shift S ˜ $$ \tilde{\mathbb{S}} $$ generates a tiling K ˜ 2 = K ˜ 0 2 ⊔ K ˜ 1 2 $$ {\tilde{\mathbb{K}}}^2={\tilde{\mathbb{K}}}_0^2\bigsqcup {\tilde{\mathbb{K}}}_1^2 $$ by two bounded remainder sets K ˜ 0 2 $$ {\tilde{\mathbb{K}}}_0^2 $$ and K ˜ 1 2 $$ {\tilde{\mathbb{K}}}_1^2 $$ with respect to the shift S ˜ $$ \tilde{\mathbb{S}} $$ . Two-sided bounds for the deviation functions of these sets are proved. Bibliography: 16 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 857-873 1072-3374 207:6<857 2015 207 10958 https://doi.org/10.1007/s10958-015-2410-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2410-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhuravlev V. Vladimir State University, Vladimir, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 857-873 1072-3374 207:6<857 2015 207 10958